Is there a demonstrable evolutionary pathway between the mouths/throats of animals like us and those which have 2 sets of jaws, such as certain eels?

You can look at certain structures in one animal and show how they're made from repurposed parts of an earlier animal (like fish gills becoming human ears). Can that be done with humans and those animals with Xenomorph double-mouths? Can you say "in humans, this particular piece of tendon in the neck is what eels reused for an additional mouth" or something along those lines?

Thanks for your time!