Is there a monkey called snow monkey?

Yes, there is a monkey called snow monkey, also known as the Japanese macaque. The Japanese macaque (Macaca fuscata) is a species of macaque that inhabits Japan. They are known for their ability to survive in cold climates, and are often found in snowy regions. Due to their preference for, and adaptability to, colder climates, they are sometimes colloquially referred to as snow monkeys, although they are not scientifically classified as a distinct subspecies of macaque.