PS4's don't use optical pickup. The controller connects to the PS4 via bluetooth. This console has an integrated bluetooth/WiFi chip that controls both the WiFi and bluetooth capabilities.
I'm guessing when you dropped it you may have broken the WiFi antenna or caused the antenna cable to become unattached from the motherboard. It's also possible that the WiFi/Bluetooth chip broke when it was dropped, but that is not as likely.
If you need someone to take a look at it for you I would be happy to do that. Just click on the link by my name that says "TronicsFix" and that will take you to my business listing that will have a link to my website. There are also lots of other businesses listed on IFIXIT.
I hope this helps.