You Do Need power plug adapter while traveling from Palestine to Cayman Islands.

Here is Why You Need An Adapter

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

Palestine

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

Type C

Type H

Cayman Islands

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

Type A

Type B