LOL Nope - propelled with leg push and a bit of steering.
Could hitch a goat to it but would have to muzzle her or there would be nothing left of the garden.
I think that you had better look into a gas motor, as was on the old gas engine wringer washer, or a motor scooter engine for your wagon.
You will soon throw a hip out and cause even more pain pushing it with a leg.
Try Free Cycle for a wrecked scooter, should have all you need.
I suspect this idea, will be like some of mine, excellent on paper and not so good on the ground.