Yes they can, but the injuries are only for the game. They do not carry over.
Maybe you didn't understand my question.
In my All-Star Game play a player who's injured for 2 weeks. He has an injury now. So it os possible?
If he is in the chosen players, yes he will be able to play even with his current injury.
Exactly, though he won't be able to play defense. Nor will any of the healthy players.