Can a stuck thermometer make a water pump leak?
No. Your water pump is leaking because its shot. If you grand am has a 4cyl in it you need to put new thermostat in when you replace the water pump. Also you need to flush the cooling system. That brings us to this reason. The GM 4 cyl will not take to over heating, because if you overheat them I will tell you right now the head gasket will be gone and you will spend some bucks to get it fixed if you don’t ruin the engine first.