You Do Need power plug adapter while traveling from Tahiti to American Samoa.

Here is Why You Need An Adapter

The outlet and plug type used in American Samoa are A, B, F and I and in Tahiti are C and E. This is how they look like.

Tahiti

In Tahiti, outlets of type C and E are in use.

Type C

Type E

American Samoa

In American Samoa, outlets of type A, B, F and I are in use.

Type A

Type B

Type F

Type I