I am pretty sure there are people out there who have completed all levels without powerups/extensions/etc, so I think yes. And with the wheel of fortune thing,

I am pretty sure there are people out there who have completed all levels without powerups/extensions/etc, so I think yes. And with the wheel of fortune thing, you don't even have to pay for powerups. The only one I've had a problem with so far was 417 (which is basically a lottery level), but if I didn't have enough free powerups in storage, I am quite sure I would get lucky one time...