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

Here is Why You Need An Adapter

The outlet and plug type used in Tokelau is I and in Jamaica are A and B. This is how they look like.

Jamaica

In Jamaica, outlets of type A and B are in use.

Type A

Type B

Tokelau

In Tokelau, outlets of type I are in use.

Type I