That is not even claimed in the NT, let alone probable. Paul, even if the account in Acts is authentic - it contains internal contradictions - had an experience of a bright light (in Syria at noonday!) and heard a voice. That is nothing like a physical meeting with a living person.
Acts 9:3 And as he journeyed, he came near Damascus: and suddenly there shined round about him a light from heaven: 4 and he fell to the earth, and heard a voice saying unto him, Saul, Saul, why persecutest thou me? 5 And he said, Who art thou, Lord? And the Lord said, I am Jesus whom thou persecutest ... 7 And the men which journeyed with him stood speechless, hearing a voice, but seeing no man. 8 And Saul arose from the earth; and when his eyes were opened, he saw no man.