Yeah the only thing that would say you can't do that is the weights: Weigh all your vehicles (F-150, Goldwing, and the 24F) and add them up. If the sum total is larger than the 24F's GCWR (18,500 lbs for a 2020 24F) then no you shouldn't (not going to say can't but the weight limit is there for a reason).
F-150's curb weight is between 4000 and 5000 lbs, Goldwing's weight is around 800lbs. So you're looking at towing between 5000 and 6000 lbs (swagging it here). You may be able to, the real question is the 24F's weight (you can take it to a
Cat Scale and have it weighed). (If you have a more recent 24F then you likely have an 8000lb hitch so that probably won't be the limiting factor.)
All of the above is assuming you want to tow the F-150 four down (since its either 4wd or rwd you can't dolly tow it).
For a comparison (it may sound like one but it kind of is) we've towed a C-Max Energi behind our Axis which is an E-350 (11,500 lbs) pulling a 3900 lb car on a dolly (200 lbs or so) without issue.
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