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

Here is Why You Need An Adapter

The outlet and plug type used in Pitcairn Islands is I 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

Pitcairn Islands

In Pitcairn Islands, outlets of type I are in use.

Type I