Potentially... but who cares enough? Most of what's available is a port or remake of some kind.
Cave story? Homebrew on the PC, available in better versions on multiple platforms.
Asphalt racing series? Android.
Trajectile? Has a 3DS version now (presumably updated, I don't have a 3DS).
What else, generic pool games and such? A dime a dozen elsewhere.
Even for DSi cart games, the vast majority out there are DSi-enhanced and so can have the core game played already in a multitude of ways, and as far as preservation dumps with DSi data have been done for a while (though shakily at first).
The DSi is a higher-clocked DS with more RAM and cameras. Compared to the DS earlier in it's life, it's nothing special. Smartphones outpaced the DSi well before it came into existence, whereas in the DS's glory days there wasn't much alternative to handheld systems.