If he has Collsion coverage under a Mass Auto Policy, that insurance company willl pay for the damages as long as he was using your car with your consent.
With respect, I think both of my brother counsel have slightly missed the mark. While your collision coverage would cover the accident, the insurer may have a defense to coverage based upon your not notifying them of the change in place of garaging. Depending on how recent to the accident your move is, you may be able to fight that defense.
I don't believe that your friend's coverage on his own vehicle will apply, because collision coverage does not 'move with the driver'.