100% yes.

What scientists and computer modeling has discovered (theorized) is that binary systems in general are far more common than solitary ones. So binary stars, binary planets, binary moons (binary here being objects which orbit around one another and their center of mass orbits around another body).

You can see this in models yourself too. For instance, the game Elite Dangerous simulated the entire galaxy by using their stellar forge algorithm. Obviously its a game, so take that as you will, but they used a lot of real physics in creating their algorithm for the Stellar forge. And you will find many star systems have binaries all over the place.