Sez he's working on a 37... That's a ball bearing, in the flywheel, NOT in the end of the crank. If he doesn't want to pull the flywheel, then itslow has the right idea.
I wonder, though, I once did a T-5, and the input shaft of the T-5 was the same size as the Ford ball bearing that is already there ??? (I realize there are many versions of T-5)
My guess is that the 'hydraulic' idea will not work - I've tried it, and could not make it work for this setup. It just pushed grease out, in the wrong places - never moved the bearing, but did push the bearing seal/shield out.