Hey, awesome idea!! I'm not good at platformers so I didn't get very far =v='
I like the ability to climb the ice/snow, it's quite unique! I would suggest leaving the control info by the start visible, as I pressed space near a wall before I managed to read it. I then had to figure it out myself (which while a fun puzzle, was a bit frustrating after spending some time trying to get off the starting platform). I also had to use task manager to close the game? I couldn't find any other way to, so that may be worth looking at.
Overall, I think this is a really good start. The art is great and I had fun with this :3