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.

Call of Duty: WWII - Digital Deluxe\n\n To play this game on PS5, your system may need to be updated to the latest system software. Although this game is playable on PS5, some features available on PS4 may be absent. See PlayStation/bc for more details.