No. Because antique firearms are not considered firearms for purposes of the Gun Control Act (GCA), none of the import regulations apply to the importation of antique firearms. Moreover, a nonimmigrant alien may possess antique firearms, even if the alien does not fall within an exception to the nonimmigrant alien prohibition.
[18 U.S.C. 921(a)(3) and (a)(16); 27 CFR 478.11]