Oh, sure He did:
John 10:30 “The Father and I are one.”
Jesus told Thomas: “I am the way, and the truth, and the life; no one comes to the Father but through me. If you really knew me, you would now my Father also. From this point on you know him; you have seen him.”
“…Whoever has seen me has seen the Father. How can you say, ‘Show us the Father’? Do you not believe that I am in the Father and the Father is in me?”.
Galatians 2:20 Saint Paul said “It is no longer I who live, but Christ lives in me.”
The description of Jesus (pbuh) that we have in the four Gospels and in the New Testament is a description of a man, not of God.
Jesus cried, felt tired, suffered and became fatigued. Like all humans, he sought rest and comfort. He felt hungry and searched for food and even got angry because of his hunger, as in the Gospel when he went to the fig tree to find some fruit to eat and when he did not find any, he hit the tree and cursed it.
Jesus once felt very tired and some ladies came and massaged him and anointed his feet with perfume. He felt fresh and satisfied as any human. He suffered sickness and even when, according to the Gospel, he was taken by the Roman soldiers to the cross, he was totally unable to carry his own cross.
And according to the Gospel, before he was taken to the cross, he prayed to God to save him from this plight.
Christians may say that he was sent to release humankind from the bondage of the original sin committed by Adam and to take our sin away and to reconcile ourselves to our Creator, but unfortunately, there is no direct statement by Jesus himself that he came to fulfill this mission.
He was very clear to tell people that God is my God and yours. He used to pray to God and ask Him for support and comfort. He never said, “I am God” or “I am the Son of God.” Rather, he was called several times in the Gospels “a prophet” and “a mighty prophet”. He was also called “the servant of God” like Prophet Muhammad (pbuh) after him. People used to shout, “Here a prophet has risen among us” and repeated this phrase whenever Jesus performed a miracle in front of people.
Christian theologians understand very well that it is beyond reason to prove that Jesus is a Son of God or that Jesus is divine; but it is very easy and straightforward to prove the prophethood of this great Messenger of God.