I don't see why not.  If you have a merchant account with a credit card payment processing service you can charge your clients using that, and send their tokens directly to their wallet.

Of course accepting fiat via credit card transactions is very risky.  A client could charge a bunch of your tokens on his card, then dispute the charges.  As the merchant you are responsible for all charge-backs, and since it's crypto currency you'll get no sympathy or help from the credit card processing service.