Yes, ALSTEROIDS has MFi controller support!
ALSTEROIDS on iOS does support controllers and is compatible with the MFI standard.
Large asteroids can be broken into two medium size ones, which in turn can be shot into two smaller ones.
A wave is over when all asteroids have been cleared.
You can use your ships thrusters to move out of the way of an incoming asteroid.
Hyperspace is a dangerous option as your ship can transported into an asteroid.
ALSTEROIDS supports MFi controllers.