Yes, you can play Black Ops 4 offline on the PS4. The game offers both offline and online modes, allowing you to enjoy the game's content without an internet connection. Yes you can & you will have to play against or with bots but you can play both the maps and the zombies or customize your own game.

Yes, you can play both the campaign mode and multiplayer mode in Call of Duty: Modern Warfare 3 offline. The campaign mode can be played in its entirety in offline mode, and a Private Multiplayer mode allows you to access all of the maps and modes present in Multiplayer.