Yes, but it does require effort and forethought. In general, it's not a good idea to bring a pet to Peru unless you plan on staying here for a long time. It can be a hassle to travel with pets and some hotels may not allow animals in rooms.
Nonetheless, if you do want to bring your pet to Peru, you must apply for an Import Permit; have your pet vaccinated for rabies between 30 days and 12 months prior to travel; have a USDA (or CFIA) accredited veterinarian complete a Veterinary Certificate for Peru; and have a ticks and tapeworm examination performed by a veterinarian shortly before travel. It's also a good idea to carry something that identifies you as the owner of the animal.
Pet Travel, the worldwide travel resource for pets, is a good website that details the necessary requirements for bringing your pet to Peru.
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