Here is a list of the online sites where you can play online poker with a debit card.
As for debit cards, it depends on the debit card. I have a friend who has one, and his works. My old one did not work, I've not tried my Bank of America one, so I don't know if it works.
So try yours and if it doesn't work, try epassporte.com, which is an online virtual debit card. You put money on it using your debit card, bank account, or credit card. Then you can transfer money into your poker account or back out again. No problems.