Do hamsters have pouches

No, cats do not have a pouch. Only marsupials, such as kangaroos, possums, and koalas, have pouches.

However, cats have a loose flap of skin on their bellies which is often called a Primordial Pouch, Jungle Pouch, Abdominal Fold or Belly Flap. Most domestic cats develop these during maturity. It is thought that it allows extra flexibility when the cat is running, hunting and other activities that require a lot of movement and possibly serves as a protective layer around the belly during fighting.