Strange, it’s pretty buggy. Did you try watching the walkthrough?
I ran into the same bug. Also, watched the walkthrough, and the solution to that level is exactly what I thought it was, but I can't perform it. For me the wall always just clips through me so I get stuck halfway up.
So I'm going to second the "good idea" opinion of Waffelnsalat - I've seen time travel mechanics in puzzle games, and there's always some potential there. But there's definitely some bugs.