Unfortunately no. Taxi's only.

You need to call to book a taxi. If you are staying at a hotel taxis can be called for you through the concierge or via the taxi stand. Generally it's a good idea to book round trip service. Taxis can take awhile to arrive so as soon as you know when and where you are doing we would recommend calling to get your taxi booked so you don't need to worry about it. Here are the top 15 taxi services according to trip advisor. https://www.tripadvisor.com/Attractions-g147404-Activities-c59-t182-St_Thomas_U_S_Virgin_Islands.html

Left!!!