[Old Sarge]

I wonder if someone’s in the national guard in one state, can they move and go to the guard in another state?

Yes.

You might not even have to move - if your MOS is not in one state, you may have to find a unit within a reasonable distance, and that could mean across state lines. An Inter-state Transfer is all that's needed. Contact the Guard for details.

[skully]

That’s exactly right. I lived in NY, and my guard unit was in Mass.