Did Adam and Eve have choice. If they did have a choice to sin or not sin in the beginning the cause of our fall is on Adam and Satan. but if they didn't have a choice then God is at fault.
And Satan or Lucifer, Did he have a choice to follow God or to rebel against God. Sin did not start by the will of God. God did not force sin to happen.
They all had free will before eating of the tree of the knowledge of good and evil. In no way was God at fault or responsible for the fall. In fact, just the opposite - God very explicitly told Adam and Eve not to eat of the tree of the knowledge of good and evil or they would die, which warning they chose to ignore.
Adam and Eve had free will because they had been created in God's image:
[Gen 1:27 KJV] 27
So
God created man in his [own] image, in the image of God created he him; male and female created he them.
Satan had it because he had been created perfect in his ways:
[Eze 28:15 KJV] 15
Thou [wast]
perfect in thy ways from the day that thou wast created, till iniquity was found in thee.
So, there was no excuse
Please observe (below) that spiritual death began with Adam and Eve (and was also passed to everyone ever born). By Adam's and Eve's eating of the tree, was law brought forth, which law imputed sin and spiritual death upon mankind. That is, a sentence of death accompanies the law of sin and death..
[Rom 8:2 KJV]
2 For the law of the Spirit of life in Christ Jesus hath made me free from the
law of sin and death.
Gen 2:16-17 KJV]
16 And the
LORD God commanded the man, saying, Of every tree of the garden thou mayest freely eat:
17 But of the tree of the knowledge of good and evil,
thou shalt not eat of it: for in the day that thou eatest thereof
thou shalt surely
die.
[Rom 5:12-13 KJV]
12 Wherefore, as
by one man sin entered into the world, and
death by sin; and so
death passed upon all men, for that all have sinned:
13 (For
until the law sin was in the world: but
sin is not imputed when there is no law.
[1Co 15:56-57 KJV]
56 The sting of death [is]
sin; and the
strength of sin [is] the law.
57 But thanks [be] to God, which giveth us the victory through our Lord Jesus Christ.