Yes, sort of. My table top stores as markopolo suggested under the driver's side rear bench seat cushion.
There's a hole cut in the platform that allows the table leg mount to drop below flush on that part of the
bench.
If there isn't anywhere under the cushions for it to be stored, where it fits flat, I just don't know. It likely stores
inside the living area, but as to where I wouldn't know where to begin looking. Do you have a closet or armoire?
Probably not, as the Versatile models have 4 seats (usually). If you do, perhaps it goes in there.
If you download the 2002 Chev 190 Owner's Manual, see the pictures on page B3 and you can see how some table
tops are stored.