Yes you can, I just tested it again, and beat level 2. Did you never try moving to the right?
Well, I just tried again, and beat level 2. You can literally just hold down right to win level 2, of course stopping a few blocks from the wall to grow out of the level and win it. You said you are playing on mac? Maybe the mac build is messed up, otherwise I'm not sure. Maybe just try playing it in browser instead of downloading it? Sorry it's not working for you. :