I don't think so. Paul was the "apostle to the Gentiles" and most timelines I've seen show his conversion to have been around 34 A.D.
Basic Acts Timeline (Witherington III, B. (1998). The Acts of the Apostles : A socio-rhetorical commentary (81–86). Grand Rapids, MI: Wm. B. Eerdmans Publishing Co)
A.D. 30—Jesus is crucified under Pontius Pilate. Resurrection appearances, Pentecost, initial growth of the church in and around Jerusalem.
A.D. 31–33—The events of Acts 3–7 transpire with mounting concern on the part of Jews and especially the Jewish authorities in Jerusalem. The rising tension results in vigilante action taken against Stephen, and then an authorized effort under Saul to disrupt and even destroy this new messianic sect, involving persecution and even the death of some Christians (cf.
Acts 8:1–3 to
Gal. 1:13). The persecution led various Christians such as Philip to go elsewhere, such as Samaria, and bear witness (
Acts 8:4–40). THE FIRST EIGHT CHAPTERS OF ACTS COVER ONLY THE PERIOD FROM ABOUT 30 TO 33.
A.D. 33 or 34—Saul is converted on the road to Damascus during his period of persecuting the church (Acts 9; Galatians 1).
Another:
Apostle Paul's Timeline - Study Resources
Quoting Dr. Thomas Schreiner---->The Lord made it clear when Paul was converted that he was “a chosen instrument of mine to carry my name before the Gentiles and kings and the children of Israel” (
Acts 9:15). Paul’s role as a missionary is captured by the words Jesus spoke to him on the Damascus Road according to
Acts 26:18: “…to open their eyes, so that they may turn from darkness to light and from the power of Satan to God, that they may receive forgiveness of sins and a place among those who are sanctified by faith in me.” Paul was God’s chosen instrument to bring God’s saving message to the ends of the earth.
It is crucial to see that Paul’s role as a missionary to the nations fulfills Old Testament prophecy. In “the fullness of time” God sent forth His Son, Jesus Christ (
Gal. 4:4). Christ’s ministry, death, and resurrection fulfilled the salvation predicted in the Old Testament. It was never God’s intention, however, that the saving message would be restricted to Israel. When God chose Abraham, Isaac, and Jacob, He emphasized that all nations would be blessed through them (
Gen. 12:3;
18:18;
26:4;
28:14). This promised universal blessing did not become a reality during Old Testament times.