I have seen that done a few times over the years. There was a report of someone in southern California that got a ticket for towing a car with a wooden beam for a front tire. There are a couple of videos out now with tree limbs being used on a trailer.
Seems like I can recall a motorcycle sidecar with a limb for a wheel. Might have been something in a movie, thinking World's Fastest Indian, but not sure.
The one posted by the OP was new to me, but there was one on Shocking Vidoes taken by the highway patrol a few months ago that was very similar to this one. Same wheel, same tongue overlap, no rain and driving on the shoulder instead of the right lane. Enough to make me think staged copycat video.