Compatibility summary
You will need a travel adapter in British Virgin Islands; plug types used there differ from Switzerland. Voltage differs by more than 20% — a voltage converter may be needed for some appliances.
Plug comparison
Switzerland plug types: C J
British Virgin Islands plug types: A B
There is no common plug type between Switzerland (C J) and British Virgin Islands (A B). You need a travel adapter.
Voltage comparison
Switzerland: 230V, 50Hz
British Virgin Islands: 110V, 60Hz
Voltage converter recommended (Switzerland 230V vs British Virgin Islands 110V).