Is There a Super Smash Bros. Game for the Nintendo DS?

No. There has never been an official Super Smash Bros. game released for the original Nintendo DS or DSi.

The handheld entries in the series are:

• Super Smash Bros. for Nintendo 3DS (2014) – The first portable entry, on the 3DS family.
• Super Smash Bros. Ultimate (2018) – Playable on Switch in handheld mode.

Common Confusion: Super Smash Bros. Melee was on GameCube, not Game Boy Advance. There was a canceled GBA prototype, but it never released.

If you want Smash on a dual-screen Nintendo handheld, the 3DS version is your only official option.