Well, whaddya know!? Still learning something gnu everyday!
So, perhaps an appropriate size rubber band would do in a pinch? Of course, rubber bands will stretch more than an O-ring, which can cause jerky motion results if the load mechanism isn't free-spinning. Can't imagine the pump arm motion of this accessory would be a very challenging load, though.
Are the remnants of the old O-ring left? Sometimes you can make reasonable measurements from them to help in a search.
I've used this source for belts on accessories before (e.g., Lionel's Nuclear Reactor). Very happy with the service/price/quality.
I tried accessing part views of the MTH accessory (several p/n's) on the MTH website...as you probably did, also. The only 'support' I could find is a copy of the 2-page operating instructions.
Hope someone will have the p/n and specs info you need.
Meanwhile, have a Merry Christmas, Happy New Year.