No. http://blogs.forward.com/the-shmooze/141795/q-and-a-hardcore-pawn-stars-les-and-seth-gold/
He was bar mitzvah'd in an Orthodox Synagogue. In order to do that your mother must be a Jew. Judaism is a matrilineal religion and therefore requires the mother to be a Jew to be Jewish. I know this because my mother is Italian and my father Jewish. I was unable to get a Bar Mitzvah in a conservative synaoguge because my mom wasn't a Jew. I had to get it in a reform synagogue. Therefore, his mother is not Italian.