You Do Need power plug adapter while traveling from Saint Kitts and Nevis to Samoa.

Here is Why You Need An Adapter

The outlet and plug type used in Samoa is I and in Saint Kitts and Nevis are D and G. This is how they look like.

Saint Kitts and Nevis

In Saint Kitts and Nevis, outlets of type D and G are in use.

Type D

Type G

Samoa

In Samoa, outlets of type I are in use.

Type I