I really like this idea, it's super creative and your level design has a lot of charm. I love your use of everyday objects and little touches like if you hit the sink handle the water turns on, and the man crossing into the foreground.
I do this this game is a bit too punishing however. For a game jam you want to try and lean on the easy side, and remember you will always be better at your game than your players. I think I'd start by adding a little coyote time to the character, and make it so when you tap jump it jumps a certain height and hold jump it jumps a little higher.
I got really stuck at this pictured part. When you fall down here your jump isn't high enough to get back up. I eventually found that if you jump on the fridge handle you bounce up, but there was nothing signaling me to try it. I found it totally on accident.
Great submission though, I would love to see more!