You Do Need power plug adapter while traveling from Chile to Tokelau.

Here is Why You Need An Adapter

The outlet and plug type used in Tokelau is I and in Chile are C and L. This is how they look like.

Chile

In Chile, outlets of type C and L are in use.

Type C

Type L

Tokelau

In Tokelau, outlets of type I are in use.

Type I