Yes, for standard DS games. The DS Lite uses proprietary Ni-Fi protocol for local multiplayer. The DSi uses the same Ni-Fi hardware for DS/DSi game local wireless, PLUS a standard 802.11b/g Wi-Fi radio for Internet/DSi Shop.
| Scenario | Local Wireless? |
|---|---|
| DS Game (Cart) on DSi ↔ DS Game (Cart) on DS Lite | ✅ YES (Standard Multi-Card / Download Play) |
| DSiWare Game ↔ DS Lite | ❌ NO (DS Lite cannot run DSiWare) |
| DSiWare Game ↔ DSi (Local Ad-hoc) | ❌ RARE (Most require Internet/AP) |
| PictoChat (DSi) ↔ PictoChat (DS Lite) | ✅ YES |
Bottom Line: For standard DS cartridges, they connect perfectly. For DSi-specific features, they do not.