You may be able to pull that heavy a trailer, but it is highly unlikely that your truck has the ability to carry that much weight. Look at the tire placard on the door column. It will look something like this:

For the posted example, the payload is 891 pounds (look at the small print right above where it says to "see the owner's manual for additional information".
Go take a look at your placard and see how much you have to work with. Now add up the weight of the driver and passengers, cargo, fifth wheel hitch, and fifth wheel pin weight. You can estimate a fifth wheel hitch weighs about 200 pounds. You can also estimate the pin weight at around 20-22% of the weight of the fifth wheel.
So let me do a little calculating. Let's say your FW hitch is 200 pounds, driver and passengers are 350#, cargo is 200#, and pin weight is 20% of the FW you are looking at is 1,720# (8,600 x .20). That all adds up to 2,470 pounds.
If the payload capacity of your F150 exceeds 2,470, you might be okay. You'll have to get more accurate measurements of the fifth wheel pin weight and make sure the other numbers I provided are close. Then, you'll need to do more math to see if the weight will exceed your real axle weigh rating (RAWR).
If your payload is not even close, which I suspect it's not, then you'll need to either get a more capable truck, look at a much lighter FW, or consider a bumper pull trailer.
Some folks will probably tell you that you can add airbags and the truck will pull level. That may be true, but it does not change the fact that you'll be exceeding your payload or RAWR.