Yes. Under the Gun Control Act (GCA), shotguns and rifles, and ammunition for shotguns or rifles may be sold only to individuals 18 years of age or older. All firearms other than shotguns and rifles, and all ammunition other than ammunition for shotguns or rifles may be sold only to individuals...
www.atf.gov
The NYS requirements are in the business law section 898
...or such sale, exchange or disposal is between members of an immediate family. For purposes of this section, “immediate family” shall mean spouses, domestic partners, children and step-children.