Nope. We qualify for an exemption and in fact are required to require citizenship. You can "file a charge" and have about the same luck you'd get over being declined a job working on orbital rockets, stealth fighters, nukes, submarine propellers, etc.
Even HN darling SpaceX requires US citizenship.
The fact that the USA has a law which ensures easy foreign access to American trade secrets is... exactly backwards. In any case, it doesn't apply.
For almost all jobs at SpaceX, only permanent residency (i.e., a green card) is required, because that's what ITAR and EAR require.
But, yes, of course companies have no choice but to exclude non-citizens from jobs that require a security clearance, because getting a clearance requires citizenship.
Even HN darling SpaceX requires US citizenship.
The fact that the USA has a law which ensures easy foreign access to American trade secrets is... exactly backwards. In any case, it doesn't apply.