Currently the answer is no. Funcom have locked this down.
However we are ever hopeful that they will open up this up to everyone who wants to play with their friends on their own Conan Exiles private server for PS4 or any platform.
Should you need updates about changes to Conan Exiles dedicated server access, get in touch with our support team. They can add you to our mailing list and you'll be notified right away when these features become accessible.