Why not? Think it would be awesome! I do remember mark Gutenberg starting Facebook long before he graduated I think if my knowledge base is correct!
One thing they have found amongst a lot of the top founders of startups and big companies that majority of them never graduated or dropped out of college and what ever it is that makes that spark happen it pays off so you never know :)
p.s in an ideal world we would all love a stable income first but sometimes we don't have that option and just build as we go. If i'm correct, Virgin Media CEO Richard Branson is well known to have started Virgin Music by receiving his telephone calls in a local phone box :D