Yes they do. Unfortunately there's no UPS ground so you are paying for air. UPS and FedEx consider the USVIs an International destination and because of proximity to the continental US charge it as a next day air international rate!!!! Therein lies the problem and why it costs so much. USPS is frequently a quarter or less of those fees.
There are a few large shippers that have very reasonable negotiated rates with UPS and FedEx to here. DishTV is one of them as is Advanced Auto.