Great idea and very nicely executed! I enjoyed it a lot!
I'm not entirely sure but I think you have no coyote time which makes the controls seem a bit unresponsive at times.
Also, the Play Again menu needs to be controllable with the keyboard. The game is played without a mouse so my hands aren't near the mouse and when I hit Play Again I have to be really fast to not fall while I reposition my hands. It's easy and quick to fix and it would make the user experience much better.
Apart from these, great game!