“All dogs are born with rabies” is a common belief here in the Philippines. It is basically a myth. If ever it was true, nobody from the vet practice would be assisting deliveries.
Rabies is caused by a virus. This virus is commonly found in body fluids of a rabid animal, especially in the saliva. Transmission is usually carried out when they bite, or lick on broken skin.
Unless your pup or kitten has come in contact with rabid animals, your little pet is free from rabies.