Yes. In fact most rabies cases today are caused by the rabies virus carried by bats. If you are bitten by a bat, wash the area and contact your doctor, as you would if bitten by any other animal. Whenever possible, the bat should be caught and sent to a laboratory for testing. The tricky part is that while most people know they have been bitten, in some cases bat bites may not be easily seen or felt. If you awaken to find a bat in your room, the room of an unattended child, a person who is mentally impaired, or an intoxicated person you should contact your doctor.
Learn more about what to do in situations involving bats visit the Centers for Disease Control and Prevention (CDC) website.