Yes, "drug" is used as a past tense verb in speech.

Sometimes, it's not talking about physically dragging something. Sometimes, it's talking about someone telling a story and she goes on and on and on. "She drug the story out for over an hour."

There's also the word "crunk" as the past tense of crank.
For instance, "It was really cold that morning, so I crunk up the car to get the engine warm before we drove off."