Super clever idea, utilising the theme very well. Audio and visuals also really nice. Unfortunately you made one big mistake: there is no tutorial, nowhere in the game is explained what is your goal, what are the controls, etc., and the mechanics are very unintuitive, therefore you risk players getting stuck on the first level with absolutely no clue what to do. You should really consider adding some kind of tutorial screen.
The game is otherwise well made and definitely one of the more unique submissions to the jam!