Yes, it is theoretically and mysteriously possible that God could call other Jews in the same way he called Saul.
God can only call Jews??
Catholic reasoning on display again.
You had asked
"Is it possible for God to call a man today as He did Paul?"
The Apostles were Jews. Perhaps you meant you belong to a sect who imagines their men and women are being called as apostles, prophets, and prophetesses ? Is that the case ?