Answer:
Unfortunately, no. You can download DS demos from the Nintendo Channel (if you have Wi-Fi access), and some games may exchange data between the DS and Wii (such as the Pokemon games, and Animal Crossing), however, there is currently no way of playing your DS games on the big screen.

{ 2 comments… read them below or add one }
No. You can't. You can play gamecube games on the wii. But you have to plug in a gamecube controller to the system.
no, but I think you can download DS demos from the Wii…..go on your wii to the Nintendo Channel and then go to DS Download