This Bible contradiction is from the Skeptic's Annotated Bible.
Yes, Jesus went to heaven on the day of his death.
Luke 23:42-43 View context
And he said unto Jesus, Lord, remember me when thou comest into thy kingdom.
And Jesus said unto him, Verily I say unto thee, To day shalt thou be with me in paradise.
No, Jesus remained on earth after his death until his ascension.
John 20:17 View context
Jesus saith unto her, Touch me not; for I am not yet ascended to my Father: but go to my brethren, and say unto them, I ascend unto my Father, and your Father; and [to] my God, and your God.