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

Here is Why You Need An Adapter

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

British Virgin Islands

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

Type A

Type B

Israel

In Israel, outlets of type C and H are in use.

Type C

Type H