Can this even be done? All I seem to do on level one is just move in circles. ** Of course, about 2 seconds after I post that, they guy runs into the alcove. I have no idea what I did to get him there, but there you go.
every single level is possible.
edit: In hindsight, the initial build of a game did a poor job to teach the player at first, so it's been polished some now.