Yes. Any mammal can catch rabies from any other mammal. (The rabies virus has also been shown to be capable of infecting birds, though as far as I know there are no known cases of this occurring outside the laboratory.)
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Baby animals can sometimes be carriers of the rabies virus. They could get the virus from their parents or from their food and environment. While they are not necessarily infected, the virus can be in their body, and if a dog is bitten, scratched, or bites the animal (which would transfer blood and saliva that could have the virus), there is a chance the dog could catch the virus. Depending on the animal as well as the area, the risk can be relatively low. It is a good idea to keep your dogs' rabies vaccines up-to-date to prevent them from getting rabies.