GameCube-GBA Link Cable on Nintendo DS? No.

No. The GameCube–GBA Link Cable (DOL-011) connects GBA/SP/GBA Micro (via adapter) to GameCube Controller Ports.

• DS/DS Lite/DSi: Use Game Card Slot (SLOT-1) + GBA Slot (SLOT-2) for GBA games / Rumble Pak / Memory Pak / Guitar Grip. No GCN controller port.
• Electrical/Protocol: GCN uses proprietary serial (SI). DS uses SPI/NDS cartridge bus. Incompatible.

What Works:

• GBA ↔ GCN: Cable works (Zelda WW Tingle Tuner, Four Swords, Pokémon Box, Animal Crossing).
• DS ↔ DS: Local Wireless (Download Play / Multi-Card).
• DS ↔ Wii: Download Play (Pokémon Battle Rev, etc.) / Wii U (Wii Mode).
• GBA Player (Game Boy Player / DOL-017): Plays GBA carts on GCN via disc – no link cable needed.