As we have discussed here before... bouncing the ball off your own basket/backboard constitutes a shot. Doing so off your opponents constitutes the beginning of a dribble.
In the game of one-on-one, with only one basket, whose basket is it?
Maybe they were playing full court. Maybe the dribbler had a gun.
We are a very professional group aren't we? Notice how the answers we give are 'just about' as relevant as the original question.