Is there any way to ''engage'' a starter motor without it spinning so that I can align it with the ring gear??

turn and pull the toothed wheel at the same time?

Depends what type it is.

Put the pinion or bendix in the "Start" position and then use blu-tac or plasticine, tape or anything else you can find to hold it there. Or if it has a solenoid, put 12v to the solenoid but not the starter.