Not a troll, but perhaps indirectly, yes, gun rights are protected by the First Amendment.
The Second is obviously the most direct protection, but freedom of speech and association (guaranteed by the First) are necessary to protect the Second.
And, of course, the Second protects the First when all else fails.
First amendment protects freedom expression, and there might be a first amendment issue raised by prohibiting display of a gun (especially if it was unloaded). It is unlikely to be litigated since the debate on guns focuses on the 2nd amendment. However if the right to gun ownership was restricted based on religion or political ideology, it would involve both amendments. (at least according to those who hold guns are for self-defense, a more traditional reading of the 2nd amendment is that its primary purpose was to allow dissidents to own guns).
It’s my right as a member of a just society to fire my AK-47 in the air everytime I liberate a land of infidels. That’s protected by the 1st amendment, no?