Yes, a Jewish groom can absolutely wear a kippah (skullcap) and a tallit (prayer shawl) at his wedding. In fact, it is very common and often expected.
* Kippah/Yarmulke: Wearing a kippah is a sign of respect and reverence for God, and it is standard practice for Jewish men to wear one during prayer, religious ceremonies, and often throughout the day. A groom wearing a kippah at his wedding is a clear and appropriate expression of his Jewish identity.
* Tallit: The tallit is traditionally worn during morning prayer and on certain holidays. It is also very common for the groom to wear a tallit during the wedding ceremony, especially during the *chuppah* (wedding canopy) and the giving of the ring. The tallit symbolizes being enveloped in God's presence and protection.
The specifics might vary based on the family's traditions and the level of religious observance, but wearing both a kippah and a tallit is perfectly acceptable, and often a beautiful and meaningful part of a Jewish wedding.