I have a lightning connector headphone jack, can I use this for my ps4?

no apples adaptor is to do the direct opposite of what you wish

seems that no adaptor exist which would do what you want

https://www.quora.com/Is-there-an-adapter-to-connect-my-Lightning-EarPods-to-my-notebook-3-5-mm-jack

and if it existed it would likely be a lot more expensive than a new headset for your playstation

for what purpose?

the connector is made to connect a 3.5mm minijack headset to an iphone with only a lightning connector

playstation 4 does not have lightning connectors