Yes. Keep in mind that the card billing address must match the address on record with the credit card company. Also, remember to enter the driver's name and age during the checkout process.
Even if you pay for the car-rental booking on Hotwire, the driver will need to present his or her own valid license and credit card at the rental counter. The rental agency will require a credit card as a deposit. (Some rental locations may accept debit/check cards for deposits but may have additional requirements such as requesting proof of a roundtrip transportation itinerary in order to rent the vehicle.) The card must be in the name of the primary driver, and must include sufficient available credit to secure the rental. The amount of available credit necessary varies depending on the car type and rental period. If the driver opts to purchase additional items (such as insurance) at the rental counter, additional available credit will be required.
Be aware that car-rental agencies will not accept a prepaid or 'stored value' card, including those showing a MasterCard or Visa logo.