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

Here is Why You Need An Adapter

The outlet and plug type used in Mozambique are C, F and M and in Cook Islands is I. This is how they look like.

Cook Islands

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

Type I

Mozambique

In Mozambique, outlets of type C, F and M are in use.

Type C

Type F

Type M