Maybe a better question is, did Jesus take the punishment for our sins?
Yes. Here are some verses that bear out the substitutionary work of Christ on the cross that you might consider:
KJV 1 Peter 3:18 For Christ also hath once
suffered for sins, the just for the unjust, that he
might bring us to God, being put to death in the
flesh, but quickened by the Spirit:
KJV 1 Peter 2:21 For even hereunto were ye
called: because Christ also suffered for us,
leaving us an example, that ye should follow his
steps: 22 Who did no sin, neither was guile
found in his mouth: 23 Who, when he was
reviled, reviled not again; when he suffered, he
threatened not; but committed himself to him that
judgeth righteously: 24 Who his own self bare
our sins in his own body on the tree, that we,
being dead to sins, should live unto
righteousness: by whose stripes ye were healed.
KJV 1 Peter 4:1 Forasmuch then as Christ hath
suffered for us in the flesh, arm yourselves
likewise with the same mind: for he that hath
suffered in the flesh hath ceased from sin;
KJV Isaiah 53:4 Surely he hath borne our
griefs, and carried our sorrows: yet we did
esteem him stricken, smitten of God, and
afflicted. 5 But he was wounded for our
transgressions, he was bruised for our
iniquities: the chastisement of our peace was
upon him; and with his stripes we are healed. 6
All we like sheep have gone astray; we have
turned every one to his own way; and the LORD
hath laid on him the iniquity of us all.
KJV Romans 5:6 For when we were yet without
strength, in due time Christ died for the ungodly.
7 For scarcely for a righteous man will one die:
yet peradventure for a good man some would
even dare to die. 8 But God commendeth his
love toward us, in that, while we were yet
sinners, Christ died for us.
KJV Romans 8:3 For what the law could not do,
in that it was weak through the flesh, God
sending his own Son in the likeness of sinful
flesh, and for sin, condemned sin in the flesh:
KJV 2 Corinthians 5:21 For he hath made him to
be sin for us, who knew no sin; that we might be
made the righteousness of God in him.
KJV Galatians 1:4 Who gave himself for our
sins, that he might deliver us from this present
evil world, according to the will of God and our
Father:
KJV Galatians 3:13 Christ hath redeemed us
from the curse of the law, being made a curse
for us: for it is written, Cursed is every one that
hangeth on a tree:
KJV Titus 2:14 Who gave himself for us, that he
might redeem us from all iniquity, and purify
unto himself a peculiar people, zealous of good
works.
KJV Hebrews 9:26 For then must he often have
suffered since the foundation of the world: but
now once in the end of the world hath he
appeared to put away sin by the sacrifice of
himself.
KJV Hebrews 9:28 So Christ was once offered
to bear the sins of many; and unto them that look
for him shall he appear the second time without
sin unto salvation.