Yes, you can play Call of Duty: WWII on PS4 without an internet connection. The game offers both single-player and local multiplayer modes that can be enjoyed without the need for an internet connection. However, certain features such as online multiplayer and updates will require an internet connection.

You only need a sub for the online features like co-op summons, invasions, and player messages. The single player portion of the games are fully playable without PS+.