Yes. It is a breed of dog first domesticated in Mesoamerica (southern Mexico and Central America) some 3500 years ago. It was one of the first breeds recorded by the American Kennel Club (1884).
Mexican hairless dog
The Standard Mexican Hairless is exactly what it says on the tin, hairless
Mexican Hairless
Hairless Khala. Peruvian Inca Orchid. Peruvian Hairless Dog. Xolo/Mexican Hairless. Chinese Crested. (hairless version) American Hairless Terrier. Ecuadorian Hairless Dog. Manchurian Hairless Dog.
American Hairless Terrier Chinese Crested (the hairless variety) Hairless Khala Peruvian Inca Orchid Xoloitzcuintle (aka Mexican Hairless)
Mexican Hairless
It isn't. The Mexican hairless is just a breed of dog that has been raised in Mexico for at least 3000 years. The Mexican national animal is a bird, and it is the Crested Caracara (Caracara plancus).
Try a hairless breed: Hairless Khala. (medium-large) Peruvian Inca Orchid. Peruvian Hairless Dog. (not mottled like its cousin) Xolo./Mexican Hairless. (toy-miniature-standard) Chinese Crested. (hairless version) American Hairless Terrier. Ecuadorian Hairless Dog. Manchurian Hairless Dog.
The Mexican Hairless
The Mexican Hairless Dog is a rare, hairless breed of dog whose size varies greatly. It is also known as Xoloitzcuintli or Xoloitzcuintle
There are several breeds of Dog that are hairless or have hair in only some areas. The Chinese Crested, for example, only has hair on its head, feet and tail. The Standard Mexican Hairless, American Hairless Dog and Peruvian Inca Orchid breeds are usually completely bald. Currently, the only bald breeds recognized by the UK Kennel Club are the Mexican Hairless and the Chinese Crested.
Chihuahuas are a common type of dog in Mexico. They are known for their small size and are often associated with Mexican culture and heritage. Other common breeds in Mexico include the Mexican Hairless Dog (Xoloitzcuintli) and the Labrador Retriever.