No direct connection exists. The Nintendo DS and Game Boy Advance SP **cannot link** for multiplayer, trading, or data transfer between Pokémon Pearl (DS) and Emerald (GBA).
This is **one-way migration** (Pal Park), not two-way trade:
Summary: No link cable between DS and GBA SP. Use **DS/DS Lite Slot-2** for one-way Gen 3→4 migration. Trade Gen 4↔4 via DS wireless.