This is a wonderful concept for a puzzle game. Maybe a control scheme based on wasd or arrow keys would be nice?
Puzzle games often teach their mechanics to players by making a level that's impossible to solve if you don't understand the mechanic. But the mechanics in this game are sufficiently complicated that they are hard to guess, making this approach very challenging to design. This sort of stuff requires really good pacing which is hard to polish within a game jam where you can't do a lot of playtesting.