Read all posts on this idea here.
"I am a Jew, born in Tarsus of Cilicia, but brought up in this city, educated under Gamaliel, strictly according to the law of our fathers, being zealous for God, just as you all are today." Acts 22:3
I have written several posts on the idea whether Paul was the rich young ruler from Matthew 19. Here in this passage, Paul gives his story to the Jews in Jerusalem, and mentions that he was brought up in Jerusalem. I had not noticed this before. So, my original question about where Saul could have been during the life and ministry of Jesus has been answered.
Saul was brought up in Jerusalem, and was a Pharisee, so he certainly would have been aware of Jesus. I cannot imagine that he would have not had direct contact with Jesus given Jesus' record of talking with religious leaders and going to all the feasts and being the center of attention so many times. Check out all of my posts on this topic here.