I have a 70 vette. The other day I was revving the engine with the hood open. When the engine would get to higher rpms the fan would look like it was wobbling. I shut it off and i can wiggle the pully alittle. It does not leak. Is my water pump shot? I do not drive this car, I just show it. Should I replace th pump? I am afraid it will throw the fan off and damage the car. Or will the pump start to leak first, Or is it normal.

Replace it !!!!

It is NOT normal. You've got a bearing which going or already gone. I agree with 4Webers: replace the water pump. If it's the original pump and you are concerned with matching numbers, have your pump rebuilt.