In games like this, once you have mastered the basic play-style, it is sometimes fun to find novel ways to play the game. I'm currently trying to play through the game without jumping at all (Using the roller skater, because her speed allows some small gaps to be cleared without jumping)
Obviously, the levels that require jumping from one small platform to the next will be impossible, but I'm trying to see which ones are
Up to level 14 thus far, and the only impossible one I've encountered is level 5