The short answer is 'no'.
I tow two different travel trailers. One has a tongue weight of about 950 pounds and the other has a tongue weight of about 450 pounds.
With the heavier of the two, I use a weight distribution hitch. A weight distribution hitch, properly adjusted will lower the front of the truck and raise the rear so that it is nearly level.
With the lighter TT, I use a straight draw bar which is rated for 600 pounds. Without a weight distribution hitch the rear of my truck still squats a bit, due to the nature of the progressive suspension. So I use airbags to bring it back up level. This keeps the camper from wanting to nose dive during braking and keeps my headlights pointing the right direction.
Back when I towed with an F150, I had 'E' rated tires all around, they really made the truck feel better while towing, but when empty would cause the truck to skip across the top of any ripples in the road surface. A series of patches in the road could easily cause a loss of control, especially while braking. If you are using P-metric tires, you might consider going to a 'D' rated tire, but certainly no more than that, or you risk losing day to day drive ability.
2014 Coachmen Catalina 253RKS
2016 Keystone Summerland Mini 1750RD
2012 F250 Lariat 6.2L Crew Cab FX4
Reese dual cam SC/WDH