Really? I set up a Paypal account to pay for something purchased on-line because I didn't have a credit card at the time. I linked it to my credit union account - but perhaps you don't have a credit union or bank account either? Talk to your dad about using his credit card. If something were to go wrong, it could be a big problem.
If your dad will let you use his card then go for it. You can add numerous cards to your account so you can definitely change it later when you get your own. Just make sure to make yours the primary then you can delete his if you'd like.