That doesn't happen in stand-up basketball. He plays for the San Diego Express, a wheelchair team ranked 21st nationally out of almost 200 teams. A few rules are different in wheelchair basketball, like a four-second count in the key instead of three, but there are far more similarities. Dribbling is still required. Two pushes of the wheels equal two steps.
Some athletes can travel half the court with two pushes.
Fouls are called, but there is plenty of incidental contact since 10 chairs are on the court at once. The athletes require special wheelchairs called sports chairs, which are designed for increased maneuverability, durability and safety. Some play with a fifth wheel for better pivoting. Most players strap themselves into the chairs, but some don't and suffer the consequences when they fall out. But you're a player and you pick yourself up and play.