You Do Need power plug adapter while traveling from Mozambique to Norfolk Island.

Here is Why You Need An Adapter

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

Mozambique

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

Type C

Type F

Type M

Norfolk Island

In Norfolk Island, outlets of type I are in use.

Type I