I don't see why its impossible. It fairly easy to push a small car in neutral on the level.
Our cars have quite a bit of power in them. Hold onto the bumper sometime and hit the thr and see how much it pulls. Much stronger than it seems.
You can get so much TQ out of a elec motor I'm sure it could do it well, assuming you can get the traction to do so and not burn out the spd control. Gearing way down would help alot. I'm curious how the lst was geared.