Is there a way to just target the hunt and not the players?

[Leptorhynchoides]

Hold L1 and press circle, your target will only cicle through enemies. If you want to set it back to all it is L1 + triangle.

But the best option is to filter what you want to be on your target cicle in "Character Configuration" > "Control Settings", where you can unmark friendly players, pets, npcs...