You Do Need power plug adapter while traveling from New Zealand to Greenland.

Here is Why You Need An Adapter

The outlet and plug type used in Greenland are C, E, F and K and in New Zealand is I. This is how they look like.

New Zealand

In New Zealand, outlets of type I are in use.

Type I

Greenland

In Greenland, outlets of type C, E, F and K are in use.

Type C

Type E

Type F

Type K