That "chinchilla" is not a breed - it's a traditional, designer name for a particular pattern. Just as classic tabby is, for example. Chinchilla traditionally means a cat with inhibitor, which restricts (wipes out) the colour from the hairshaft except the tips, over the surface. It's an agouti cat and the babies are born looking tabby. And along with that goes tabby-style eye and nose outlining which remains, unlike the baby tabby markings.
Lesley