No. Left 4 Dead (and Left 4 Dead 2) on Xbox 360 supports **split-screen only for Campaign mode** (2 players local).
| Mode | Split-Screen | Online | System Link |
|---|---|---|---|
| Campaign | ✅ 2 Players | ✅ 4 Players | ✅ 4 Players |
| Versus | ❌ | ✅ 8 Players (4v4) | ✅ 8 Players |
| Survival | ✅ 2 Players | ✅ 4 Players | ✅ 4 Players |
| Scavenge (L4D2) | ❌ | ✅ 8 Players | ✅ 8 Players |
If you want local competitive zombie action, Call of Duty: Black Ops II (Grief mode) or World at War (Custom Games) support 2-player split-screen versus zombies.