As a practical matter, though, the chance of that happening lies somewhere between the chance of you turning inside out and exploding, and that of civilization being destroyed by a Carrington Event.
Lots of things are theoretically possible. That something is possible doesn't mean it is worth worrying about.
So could the University of California at Santa Barbara, and it did. You saw where that one went...
Or maybe not. It disappeared into well deserved obscurity within days.
I must assume that a Convention of the States would approach its work with serious intent and limited purpose, as franchised. I doubt it would want to be remembered as a bunch of utopians drunk on moonbeams.