I suspect they'd be fine with someone 18-24 who isn't a student being in the program - after all, they almost certainly expect you to drop out and focus on your startup fulltime if it gets traction.
If you're not comfortable with lying on the application, just enroll in online classes somewhere - voila, you're now a student! (Of course you still need to be an otherwise impressive candidate.)
On a related note, I'm toying with a new investment thesis: "old" entrepreneurs (above, say, 35) strike me as an interesting arbitrage opportunity. They seem wildly undervalued by silicon valley. Anyone want to start a syndicate with me to explore this idea?