Yes, unless the registered possessor is a qualified dealer, manufacturer or importer, or a licensed collector transporting only curios or relics. Prior approval must be obtained, even if the move is temporary. Approval is requested by either submitting a letter containing all necessary information, or by submitting ATF Form 5320.20, Application to Transport Interstate or to Temporarily Export Certain National Firearms Act (NFA) Firearms. This requirement does not apply to the lawful interstate transportation of silencers. Possession of the firearms also must comply with all state and local laws.
[18 U.S.C. 922(a)(4); 27 CFR 478.28]