I don't think a human operator could reasonably control the cars at that speed remotely. But, given the simplistic nature of the track, a µC equipped car might be able to.
Fun to think how the rules could change if you made the maze 3D. Now jumping is allowed. Flying as well? Touching walls? Cameras can't necessarily see the whole maze anymore either.
I've read about these competitions before, but he goes into way more detail than I could get as a casual observer. Very enjoyable video.