Can you do advance payment on a hotel room with a debit card?

Yes, but I would not advise it, some hotels put a hold on your card for 2 to 4 times the total room rate which could overdraft your checking account until the bill is settled at checkout and the hold released.

Always use a credit card for hotel reservations, unless you have no other choice in which case make sure you have a very large amount of money in the account to cover the hold.