Jesus chose to heal some people through touch:
When he entered the house, the blind men came to him, and Jesus said to them, “Do you believe that I am able to do this?” They said to him, “Yes, Lord.” Then he touched their eyes, saying, “According to your faith be it done to you.” And their eyes were opened. Matthew 9:28-30
Now Simon’s mother-in-law lay ill with a fever, and immediately they told him about her. And he came and took her by the hand and lifted her up, and the fever left her, and she began to serve them. Mark 1:30-31
And a leper came to him, imploring him, and kneeling said to him, “If you will, you can make me clean.” Moved with pity, he stretched out his hand and touched him and said to him, “I will; be clean.” And immediately the leprosy left him, and he was made clean. Mark 1:40-42
That last one is particularly incredible – Jesus touched a leper! He didn’t need to, but he did. Jesus was always demonstrating that there is a way to do things that shows God is merciful and glorious.