It's a far more complex issue than just distribution. Some claim that it's a real supply shortage.
As someone else noted, the stuff used to make jet fuel is maybe 10% of the output. That's not something that's easily changed, although I suppose that there are some chemical processes (hydro treating) these days that can modify it. If there's far more demand for one type of fuel than the other, then that runs into issues of where to store the fuel with too much supply. That costs money and the fuel degrades during storage. So it's not as simple as just making more jet fuel, because it would also require making more gasoline, diesel fuel, heating oil, bunker fuel, etc.
I guess one thing that might help with all this is the use of SAF like biofuels. They're more expensive but have some benefits including lower emissions and even range improvement. I've said it before - there's nothing all that mysterious about turning biological materials into fuels. The big barrier is going to be how much it costs relative to petroleum. Some of this may eventually be mandated.