You Do Need power plug adapter while traveling from Jordan to Cook Islands.

Here is Why You Need An Adapter

The outlet and plug type used in Cook Islands is I and in Jordan are C, D, F, G and J. This is how they look like.

Jordan

In Jordan, outlets of type C, D, F, G and J are in use.

Type C

Type D

Type F

Type G

Type J

Cook Islands

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

Type I