A cordless drill can be geared to drive a 'cart…saw it online, so it must be true 
Somewhat underpowered, but workable. A better bet would be the motor off of a treadmill (~1.5 hp).
And as pointed out, an impact wrench supplies short bursts of high torque–it can’t maintain that torque. (Think of it a “hammering on the end of a wrench” vs. “just pushing”: lots of torque, but only for a split second.)