You Do Need power plug adapter while traveling from New Caledonia to British Virgin Islands.

Here is Why You Need An Adapter

The outlet and plug type used in British Virgin Islands are A and B and in New Caledonia are C and F. This is how they look like.

New Caledonia

In New Caledonia, outlets of type C and F are in use.

Type C

Type F

British Virgin Islands

In British Virgin Islands, outlets of type A and B are in use.

Type A

Type B