Apparently so. Or we can vote to end the birth right citizenship debate right here and now by making the little anchor baby POTUS.
We already did. Twice.
Actually, he's not really an anchor baby, since his mommy was a natural born American commie, known around her school as "Anarchist Annie" (they met in Russian class).
For him to be a true anchor baby, his mommy would have needed to have been another exchange student or other foreigner. But he still would have been natural born and qualified by virtue of having been born in Honolulu.