Yes, but this will require more secondary processes such as cracking and reforming. Out of distillation you can only really get what's already in the crude oil mixture.

Even with heavier crudes, refiners have the possibility to set up distillation so that the proportion of jet fuel in the final derived products shifts from the current 6% to at least 12% (in volume). I got it from a top-executive from Total, a few months ago.
Of course, the bill will be more expensive to do that.

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