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

Here is Why You Need An Adapter

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

Canary Islands

In Canary Islands, outlets of type C, E and F are in use.

Type C

Type E

Type F

Norfolk Island

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

Type I