There's examples of how it is possible for Satan to influence people. In the passage below, the man Peter spoke but Jesus addressed Satan in His response.
Matthew 16:21-23
21From that time forth began Jesus to shew unto his disciples, how that he must go unto Jerusalem, and suffer many things of the elders and chief priests and scribes, and be killed, and be raised again the third day.
22Then Peter took him, and began to rebuke him, saying, Be it far from thee, Lord: this shall not be unto thee.
23But he turned, and said unto Peter, Get thee behind me, Satan: thou art an offence unto me: for thou savourest not the things that be of God, but those that be of men.
There are some other verses of interest, too, that maybe you want to see: Luke 22:3, John 13:27
The word Satan there and also in Acts 5 Ananias and Sapphira simply means adversary not the being we call Satan. In fact, Satan is a created being and it is impossible for him to be everywhere at the same time. This is the problem C.S. Lewis identified as seeing Satan under each rock and others denying he exists.
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erm used in the Bible with the general connotation of "adversary," being applied (1) to an enemy in war (I Kings v. 18 [A. V. 4]; xi. 14, 23, 25), from which use is developed the concept of a traitor in battle (I Sam. xxix. 4); (2) to an accuser before the judgment-seat (Ps. cix. 6); and (3) to any opponent (II Sam. xix. 23 [A. V. 22]). The word is likewise used to denote an antagonist who puts obstacles in the way, as in Num. xxii. 32, where the angel of God is described as opposing Balaam in the guise of a satan or adversary; so that the concept of Satan as a distinct being was not then known. Such a view is found, however, in the prologue to the Book of Job, where Satan appears, together with other celestial beings or "sons of God," before the Deity, replying to the inquiry of God as to whence he had come, with the words: "From going to and fro in the earth, and from walking up and down in it" (Job i. 7). Both question and answer, as well as the dialogue which follows, characterize Satan as that member of the divine council who watches over human activity, but with the evil purpose of searching out men's sins and appearing as their accuser. He is, therefore, the celestial prosecutor, who sees only iniquity; for he persists in his evil opinion of Job even after the man of Uz has passed successfully through his first trial by surrendering to the will of God, whereupon Satan demands another test through physical suffering (
ib. ii. 3-5).
Yet it is also evident from the prologue that Satan has no power of independent action, but requires the permission of God, which he may not transgress.He can not be regarded, therefore, as an opponent of the Deity; and the doctrine of monotheism is disturbed by his existence no more than by the presence of other beings before the face of God. This view is also retained in Zech. iii. 1-2, where Satan is described as the adversary of the high priest Joshua, and of the people of God whose representative the hierarch is; and he there opposes the "angel of the Lord," who bids him be silent in the name of God. In both of these passages Satan is a mere accuser who acts only according to the permission of the Deity; but in I Chron. xxi. 1 he appears as one who is able to provoke David to destroy Israel. The Chronicler (third century B.C.) regards Satan as an independent agent, a view which is the more striking since the source whence he drew his account (II Sam. xxiv. 1) speaks of God Himself as the one who moved David against the children of Israel. Since the older conception refers all events, whether good or bad, to God alone (I Sam. xvi. 14; I Kings xxii. 22; Isa. xlv. 7; etc.), it is possible that the Chronicler, and perhaps even Zechariah, were influenced by Zoroastrianism, even though in the case of the prophet Jewish monism strongly opposed Iranian dualism (Stave, "Einfluss des Parsismus auf das Judenthum," pp. 253
et seq.). An immediate influence of the Babylonian concept of the "accuser, persecutor, and oppressor" (Schrader, "K. A. T." 3d ed., p. 463) is impossible, since traces of such an influence, if it had existed, would have appeared in the earlier portions of the Bible.
In the Apocrypha.
The evolution of the theory of Satan keeps pace with the development of Jewish angelology and demonology. In Wisdom ii. 24 he is represented, with reference to Gen. iii., as the author of all evil, who brought death into the world; he is apparently mentioned also in Ecclus. (Sirach) xxi. 27, and the fact that his name does not occur in Daniel is doubtless due merely to chance. Satan was the seducer and the paramour of Eve, and was hurled from heaven together with other angels because of his iniquity (Slavonic Book of Enoch, xxix. 4
et seq.). Since that time he has been called "Satan," although previously he had been termed "Satanel" (
ib. xxxi. 3
et seq.). The doctrine of the fall of Satan, as well as of the fall of the angels, is found also in Babylonia (Schrader,
l.c. p. 464), and is mentioned several times in the New Testament. Satan rules over an entire host of angels (Martyrdom of Isaiah, ii. 2; Vita Adæ et Evæ, xvi.). Mastema, who induced God to test Abraham through the sacrifice of Isaac, is identical with Satan in both name and nature (Book of Jubilees, xvii. 18), and the
Asmodeus of the Book of Tobit is likewise to be identified with him, especially in view of his licentiousness. As the lord of satans he not infrequently bears the special name
Samael. It is difficult to identify Satan in any other passages of the Apocrypha, since the originals in which his name occurred have been lost, and the translations employ various equivalents. An "argumentum a silentio" can not, therefore, be adduced as proof that concepts of Satan were not wide-spread; but it must rather be assumed that reference to him and his realm is implied in the mention of evil spirits of every sort (
comp. Demonology, and Kautzsch, "Apokryphen," Index)."
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