No, it isn't. Under the terms of the 2nd, 10th, and 14th A., those powers are "prohibited by it to the States".
"In 1981, Morton Grove became the first town in America to prohibit the possession of handguns. Victor Quilici, a local lawyer, sued the city (Quilici v. Morton Grove). The federal district court as well as the Appellate Court ruled the Morton Grove ordinance to be constitutional, thus upholding the gun ban. The U.S. Supreme Court declined to hear the case, letting the lower court decision stand. The ban stands to this day as village code."
So don't say, "No, it isn't." Yes, it is.