Not according to supreme court decisions for the past 200 years.<quoted text>Foreign citizenship automatically denies birth right citizenship in the US.
"The concept of dual citizenship recognizes that a person may have and exercise rights of nationality in two countries and be subject to the responsibilities of both" Kawakita v. United States, 343 U.S. 717, 727 (1951)
"As municipal law determines how citizenship may be acquired, it follows that persons may have a dual nationality. And the mere fact that the plaintiff may have acquired Swedish citizenship by virtue of the operation of Swedish law, on the resumption of that citizenship by her parents, does not compel the conclusion that she has lost her own citizenship acquired under our law."
Perkins v. Elg, 307 U.S. 325, 329 (1939)