Yes, the BVI’s accept U.S. dollars, traveler’s checks and credit cards (VISA is preferred) in most places. BUT! ATM machines and banks are not located on every island. You should bring sufficient amount of cash for:
the week (and the crew gratuity)
Transportation to and from airport or ferry
Cabs on the islands ($8-10 or more per person for each cab ride)
Land excursions
Special requests for food or beverages, spa services on yacht
Overnight dockage in marinas
Rendezvous SCUBA diving