Can you be called for a foul if you push your own player as part of a play...?

Answer 1

In most normal street games, fouls are eliminated from the list of rules. Some street games have fouls, but the point scale is in street. It is mostly not a foul in most street games, because fouls do not exist in most street games.

Answer 2

No, you cannot, the player has to be on the other team.