The only possibility I can suggest is that which is called and 'Easyout.' These are available at parts stores and come (normally) with a sized drill and a special bit with left-hand threads.
First a hole is drilled with the provided drill bit, then the removal bit is screwed into the new hole and turned counter-clockwise which further inserts the removal bit and, if the removal bit does not snap, the broken threaded shank should back out.
I would suggest soaking the broken part with penetrating lubricant first and allowing it time to seep into the threads of the broken bolt.
Was this solution helpful? Show your Appreciation by rating it: