MySims Games on Nintendo DS: MySims & MySims Kingdom
Yes, there are two MySims games for Nintendo DS:
MySims (2007): The original DS port. Features town-building, essence collection, and deep character customization via the touchscreen.
MySims Kingdom (2008): Sequel with a kingdom-management focus. You travel across islands, complete tasks for NPCs, and build structures. Adds Wii-style motion controls adapted for stylus.
Both are well-regarded for translating the PC/console Sims charm to handheld with intuitive touch controls.