Incertitude

I've beat the game on Playcrafter, so it is possible.

So I finally figured out the wall-grab-and-jump thanx to someone's comment; and hence finished level 2. However, since the wall grab button was not provided in the instructions, I give this a 1 star.

also make it easier to use space. and perhaps make the damn spikes less sensitive.

perhaps it might be worth mentioning HOW to use the space.

You can apparently grab onto any block with the space bar. To beat level 2, jump on the wall, hold space, then jump again from your hold. Unfortunately, the control is a bit too off for me to have any fun with it.