If your paypal is connected to your credit card (checking account one you mentioned) then you should be able to do this quickly in a few hours. I used this service and got my coins in 30 mins or less.
Coinpal doesn't appear to accept this method of payment. Unless you're saying that Paypal should get the money quickly?
Yes, when you send a payment to coinpal using credit card, paypal takes from your credit card and sends to coinpal basically instantly. If you do an e-check debit to your checking account there is a 3 day delay.
All of this assumes you have a standard verified account with paypal. If you have a checking account connected to it you probably do. Again, you want to pay by credit card through paypal if you want this to be fast.
