No. For much the same reason why they opposed becoming an Organized Territory, they (or at least their leadership) prefer the current arrangement. They perceive it as keeping their options open without committing to being a permanent part of the United States. After all, they know full well that Statehood will never be an option for them. If their preference changes, then I'd support universal citizenship, but it's not particularly difficult now for anyone there who wants citizenship to obtain it.
Has there been a referendum on it, though? If there was one, and they decided the way you're saying above, then no. But I can't help to feel like they would whole heartily want citizenship.
What good does it do them to move away from the US? An island like theirs has to move close to one power or another (probably New Zealand).
And Harry, the entirety of the Samoas could have been taken if the hurricane of 1889 never happened.
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