This has been asked (in a topic) before, and the answer is still "no". Minecraft is too much of a resource hog, and it still would be if Notch decided to code it properly. The are too big to keep in the DS memory (only 4 MB), and then you don't even have the engine yet.
Besides that, how fast do you think it would run? World generating happens almost constantly and with as little world as you can have in DS RAM it'd have to generate new chunks even constantly-er (more constantly?). Also, the DS' processor isn't fast enough to generate new chunks at a speed fast enough to keep playing.