Technically, yes - it has a 3.5mm jack so it could connect to the PS4's dualshock controller that way.
Why mention the LucidSound LS15X and LS35X at this point? They got pushed back to Spring 2018 so they're not available to a person to actually purchase, only preorder online from Amazon or at your local GameStop, possibly other brick & mortar locations but LucidSound's website points only to Amazon as being available for preorder online. I was actually wanting to try the LS35X set as I love the design of them, much more practical & ubiquitous looking instead of being glaringly obvious that they're geared towards being a gaming headset first, I don't believe they have Bluetooth but still have a 3.5mm headphone jack so it could be connected to a phone or whatnot.