Yes, Jesus never sinned. How do we know? In the Gospels His [Christ] enemies were said to not be able to bring any charges of sin against Him. Many feel that one can only not sin if they are never tempted but the Bible specifically states that Jesus was tempted in every point like we are, and yet remained without sin. All of the temptations he faced were directed at His human and not his divine nature. It wouldn’t make sense for us to go to Jesus Christ for help in a situation He has never been presented with Himself.
I Peter 2:22
He committed no sin, neither was deceit found in his mouth.
Hebrews 4:15
For we have not an high priest which cannot be touched with the feeling of our infirmities; but was in all points tempted like as we are, yet without sin.
James 1:13
Let no man say when he is tempted, I am tempted of God: for God cannot be tempted with evil, neither tempted he any man:
Jesus Christ had to remain sinless to become sin, to pay the price for us, our sin so that we could rejoin our Heavenly Father.
II Corinthians 5:21
For our sake he made him to be sin who knew no sin, so that in him we might become the righteousness of God.