Off hand, with no more info than you've posted, I'd say no. Not a chance.

However, much would depend on the actual weight of the towed vehicles involved, how they are equipped for the towing configuration, and your local laws (it may not even be legal with that combo). 1/2 tons, of any brand, have very modest towing abilities and ratings. A 24' 5th wheel is not a "small" trailer, comparable to about a 18-20' pull trailer. One reason 5th wheels are so popular, is the trailer-to-length value (aside of the towing ease, compared to pullers). Trailers are measured from the towing hitch point (ball or pin) to the rear of the frame/structure. A 5th wheel doesn't have a tongue to count (non-structure length), often the pin is behind the actual front of the structure (adding structure length), and much of the length is over the truck (really shortens the overall combination length). At the same time, they are generally heavier.

After confirming the weights will be within weight rating capacities, both of the truck and what's legal in your locality, consider the rest of the the package. Having the legal weight capacity and power (which will be sorely lacking), you still have to keep it under control and stop all that rolling mass. 1/2 ton trucks have very light suspension and brake systems compared to 3/4 and one tons. This means a much less stable tow vehicle, and much less braking capacity, compared to real tow vehicles. Another thing to consider is the entire drivetrain and chassis. 1/2 tons are, generally, cars with big tires and a bed. They are geared and tooled for light duty use, including the frame, suspension, transmission and axles. No matter what you bolt onto it, the truck will always be a 1/2 ton.

All that said, I would recommend, at least an F250, IF both trailers are on the light side. If moderate or heavy, you'll need an F250SD, or comparable chassis of other brands. Even with a 3/4 ton (or one ton), you'll still have to confirm the length and weight of the entire combination is within the manufacturer's ratings, and local law.

And, none of this takes into consideration your local driver license requirements, which is something you will have to address. I don't know of any state that allows towing of doubles w/o a CDL and an endorsement for doubles. If your state does, you won't be able to leave the state, because federal commercial laws will be in effect, and a CDL with an endorsement for doubles is required.

I'm sorry if this seems like a lot of words for what seems like such a simple question. What you intend to do moves you into another category of driver. One that requires above average equipment, and above average driving skill. If you aren't a commercial driver, don't have the experience, and/or use inferior equipment, you may be placing everyone else on the road at additional risk. However, if you are doing it safely, and legally, more power to you.