I have one male Torracat, and I haven't played the game further than nursery. Do you know suitable female parent to get Littens?
The only way for a a male Pokémon to have children of the same species is to breed with Ditto. This is because when two Pokémon breed, the offspring is the same as the female. So the only way for a male Torracat to hatch a Litten is to breed with Ditto.
Ditto can be found on Mount Hokulani.