Nope.
If you're legal to own firearms, you can own any C&R without needing the FFL. The one thing the FFL does (as far as federal law goes) is allow you to build a collection of curio and relic firearms through interstate commerce without the need for somebody else to be a regulatory middleman (a dealer to do a transfer).
An 03 FFL (Curio & Relic) doesn't give permission to own a single thing (you already have that permission); it only facilitates the purchase and collection of said firearms.