Unfortunately, no. Warzone 2 does not have the capability to be played splitscreen, which is rather misleading due to the occasional pop-up in the menu that tells players to add a second controller for splitscreen .

Setting up Split-screen\n\n Players can now start MW2, and once they reach the main menu, the second player should press the prompted button to join the game (X for PlayStation, A for Xbox, or Space for K/M). At this point, the second player must either log into their Activision ID profile or play without one.