Technically it is a tax document. So no - local LE / pissfir Willy (BLM types) / Dept of Fish and Game - you can tell them all to piss up a rope if you want. You can double down by informing them that you don't need to provide shit to them, but if they want to get an ATF / IRS agent out there - you'd be happy to provide it to the Feds; and you're happy to wait with them until the ATF arrives.
The better approach is to be open, be humble, be gracious, be knowledgable of all of the rules and regs of where you are - right down to where your parked during fire season.
I have been pulled over by our local LE on occasion with NFA plainly visible on the front seat and no one batted an eye. Had several LE contacts while out in the woods, never had anyone ask, or care one way or the other.
Consider this - if you're polite and reasonable to speak with, obvious in manner and practice that you didn't steal it; NFA is a good guy indicator to LE that know what's what. From there on in, its about mutual respect.
IMHO