Yes. The U.S. Constitution does not indicate a method or specific voting system for federal, state, and local elections. The following cases have all upheld RCV as constitutional.

• Baber v. Dunlap, 1:18-cv-465 (D.Me. Dec. 13, 2018) (upholding RCV in Maine)
• Dudum v. Arntz, 640 F.3d 1098 (9th Cir. 2011) (upholding RCV in San Francisco)
• McSweeney v. City of Cambridge, 665 N.E.2d 11 (Mass. 1996) (upholding RCV in Cambridge);
• Minnesota Voters Alliance v. City of Minneapolis, 766 N.W.2d 683 (Minn. 2009) (upholding RCV in Minneapolis)
• Stephenson v. Ann Arbor Bd. of Comm'rs, No. 75-10166 AW (Mich. Cir. Ct. Cnt'y of Jackson 1975) (Michigan district level court upholding RCV in Ann Arbor)