No, this is the Nintendo DS subforum, and the OP is clear that it's a Nintendo DS Lite.
The remakes of the Hoenn games are 3DS games, not DS games. To play the GBA games Emerald, Ruby, Sapphire, FireRed, and/or LeafGreen, you will need to use a GBA emulator. They're pretty playable using this emulator, but they're not perfect:
https://gbatemp.net/threads/gbaemu4ds-gba-emulator-for-ds-i-dsi-entry.281715/
Edit: At some point Emerald didn't work, but I don't know if that's still true. I could play Ruby, Sapphire, FireRed, and LeafGreen alright though.
Edit x2: You could also buy a slot 2 GBA flashcart.