Yes and rinse it well with soap and water. Please please watch it to be sure it doesn’t get infected, because you can lose your hand that way, and being on antibiotics for a little bit is not as bad as losing your hand.
I am a nursing student and the most common bite scenario we’d see in the hospital was cat bites. I’ve seen some really, really nasty infected ones. Don’t let it get to that point. If it starts getting hot, puffy and hurts/just doesn’t look or feel good, see a doctor.