Depends on the 5th wheel of course... I've seen smaller ones that look like a slide in camper with wheels on them being towed by little 4 banger 'Yotas'. They probably didn't weigh more then #3500...
If it's one of those 30+ foot jobs where a 6'3" person can stand up in the upper bedroom area, then I'd say no way...
As was said, it'll depend on what your actual 'payload' amounts are on the truck and not what it says for your "Tow Rating" in any manual....
Mine says I can tow a #7700 trailer... Well, when I hitch up a #5000 TT, I exceed my trucks GVWR and it's rear GAWR by several hundred pounds.... So much for that "Tow Rating"...
Even the big, bad F250's and F350's towing those monsters are probably exceeding their individual truck ratings too....
Best advice is from APT and get your truck weighed and go from there.... Figure out how much you can load up the truck and the rest will work itself out...
Good luck!
Mitch