Local Split-Screen in Call of Duty: Modern Warfare II (2022)?

No. Modern Warfare II (2022) does not support local split-screen multiplayer on any platform.

Online multiplayer modes (Team Deathmatch, Domination, Hardpoint, Search & Destroy, etc.) are strictly one player per console/PC. You can party up with friends online, but not on the same screen.

Note: Modern Warfare (2019) and Black Ops Cold War supported 2-player split-screen in limited modes; this feature was removed in MWII.