I... can't do anything?
Pretty sure I'm missing something because how are you supposed to solve a puzzle when the only thing you can do is watch a square move and rotate? A tutorial of some sort would help a lot.
Every "turn" you have the ability to move foward or not. If you are on an action tile your direction changes, or your position, or something else.
In the first level for example - first you need to push the box up, so when you go right you don't block your path with it.
I'm pretty sure that all levels are possible to complete, but the first couple of ones for sure.