I doubt it. Your drill cannot duplicate the rpm range of the engine, more closer to idle.
It can spin the pump enough to get oil to flow, but I don't think that it can spin it to duplicate the whole rpm range that the engine can see.
Also, it seems that your problem also has something to do with the engine warming up. What changes in the oil system or affects the oil system when the engine warms up?
Also if it is temp related, how are you going to get the engine to temp to duplicate the problem while you spin the pump with a priming shaft?
