No, your oil pump is gear driven off the crankshaft. And the coolant temp sensor/sending unit is on the intake manifold. What you're referring to on the radiator is the temp switch that controls the fan. I think it's just a water pump replacement . . I mean I hope
Coolant mishaps like this often damage the thermostat, so you'll probably have to replace that too. Even if it still works, you should do it anyway.