So the wiki for the Code Vein released the information about multiplayer modes in Code Veins, but there is no PvP.

https://codevein.wiki.fextralife.com/Multiplayer

There seems to be only one game mode for Distress signals and guests", which is Co-op mode basically. 
Of course, there exists some rewards for completing PvE, such as titles and medals.

So the PvP is not confirmed, sorry for making some changes from previous inform