Remember that kitty from Macross Frontier? The adult form can be seen in the episode 10. It turns out there are real life cats with wings in China! D: Take a look at that picture!
Scientist however said that the hairy growths are probably developed because of unusual grooming habits, a genetic defect or a hereditary skin condition.
Veterinary experts say that despite the hard inner core, the flaps do not harm the cat’s quality of life or safety.
Sources:
Sichuan catz wif wingz (YeinJee’s Asian Journal)
Chinese cats grow ‘wings’ (Telegraph)
Kitsune's Thoughts 
Yeah, but they said The hairy growths probably developed because of unusual grooming habits, a genetic defect or a hereditary skin condition.