No, but it is unlawful to transfer a firearm to any person knowing or having reasonable cause to believe that such person is a felon or is within any other category of person prohibited from receiving or possessing firearms. (See also questions “Must licensed collectors comply with the Brady law prior to transferring a curio or relic firearm?” and
“Is the transfer of a firearm by a licensed dealer to a licensed collector subject to the Brady law?”).
[18 U.S.C. 922(d), 27 CFR 478.32(d)]