I'm sorry I don't think so. One reason I can think of is you would have to give personal info (your address or PO box).
You can try using a paypal gift card. I used PayPal ( I'm the mom) for our VIP. An adult/parent might help with that.
Internet stuff and cash aren't very compatible, unfortunately. As KristKaT said, paypal gift cards would work; so might pre-paid debit/credit cards. But the whole give your parents cash and have them pay thing is I'd say optimal. I keep all my money in a spreadsheet; I earn it via chores and birthday/new years gifts, and they spend it on what I tell them to.