Yep. Just measure the distance between the 2 action screws from the bottom of the stock. These are screw at the front of the trigger guard and the one alone in the stock.
The older short actions with the stagger feed have a screw spacing of 4.275", and the magbox is attached to the action itself.
The newer short actions with the center feed have a screw spacing of 4.400", and the magbox is not attached to the action. Instead it is mounted in the stock.
As long as you buy a Stevens200 short action/Savage model 10,11,12,14,16 short action stock with the same action screw spacing it will be a drop-in fit. If you buy an aftermarket stock just make sure it fits the same thing, and most companies will ask for the screw spacing.