There's no Second Amendment bar to it. Depending on the weapons, there could arguably be an Article 1 Section 8 objection.
Presser:
It is undoubtedly true that all citizens capable of bearing arms constitute the reserved military force or reserve militia of the United States as well as of the states, and, in view of this prerogative of the general government, as well as of its general powers, the states cannot, even laying the constitutional provision in question out of view, prohibit the people from keeping and bearing arms so as to deprive the United States of their rightful resource for maintaining the public security, and disable the people from performing their duty to the general government.
“It is undoubtedly true that all citizens capable of bearing arms constitute the reserved military force or reserve militia of the United States as well as of the states, and, in view of this prerogative of the general government, as well as of its general powers, the states cannot, even laying the constitutional provision in question out of view, prohibit the people from keeping and bearing arms so as to deprive the United States of their rightful resource for maintaining the public security, and disable the people from performing their duty to the general government.”
That decision right there says there can be no bar to it regardless of where it comes from. No government has the jurisdiction to ban firearms.