Accurate answers really depend on your definition and the possible implementation of PVP. I voted Open World because I don't like the conceptual separation of PvP and PvE. Players are a dynamic part of the environment, thus PVE includes PVP whether it is coded or not. In my definition Sabacc is PVP; rival commerce is PVP; war, sports, politics and stupid general chat arguments are PVP. Open World is the only way to take PVP off the rail.
There are numerous factions available if you go with Republic, Empire and Local Populace especially with Dark, Light and Neutral options. But I don't know if it can be implemented.
The big question now is if you are considering PVP to be simply the martial conflicts or whether you include crafters, explorers, spacers, political roleplayers, etc., in the mix.
What's possible?