It will certainly tow it, lots of power, but probably can't carry it, not enough payload.
The length isn't so much the issue, but weight will be. The listed 7700lbs trailer weight and 795lbs tongue weight are for the trailer "dry". Empty, with no options. Guaranteed over 9k once loaded with over 1k tongue weight.
You don't mention what model Tundra you have but those weights will put you over GVWR (payload), receiver rating and possibly the tire and axle ratings too even if you're under the fictional tow rating.
A crewmax averages around 1300lbs for payload, a double cab is a little higher around 1500lbs. Knock off 1k+ in tongue weight plus another 100lbs for the WD hitch. Subtract the weight of any aftermarket add ons too and you don't have much left, if any, for passengers and stuff.
I tow a Bullet 31BHPR with my '07 Tundra crewmax. It's nearly 35' long but only 6400lbs dry, much less than what you are considering. Loaded up we are 7600lbs with 950lbs on the tongue. With the family on board we average around 300lbs over GVWR and just under the RAWR. You're starting 1300lbs heavier.
It works for us because it's what we have but I would get a bigger truck or smaller trailer if we were to do it again.