No, the cat is not a Chinese Zodiac Animal.

The cat missed the zodiac race, but sometimes replaces the rabbit as the 4th sign of the zodiac.

There is a Zodiac sign for Leo the lion, which is a type of cat.

In the Chinese Zodiac legend, the cat was too busy sleeping to make his way to the big meeting. So it is not a zodiac animal.

In the story of the Chinese zodiac, the animals would meet to be part of the zodiac. The rat tricked the cat by telling him the meeting was the day after. So the cat stayed home not knowing of the trick. That is why the cat is not part of the Chinese zodiac.