People eat carnivorous mammals all the time.
The consumption of many Cetaceans nearly wiped them all out.
Pinnipeds - Nunavut is famous for its pickled walrus delicacy, and the name "Eskimo" used to refer to the Inuit is considered derogatory, as it was a term that originated with other indigenous referring to them as "Eaters of rotten seal meat," which they commonly did. The traditional Inuit diet was mainly carnivorous, comprising of fish, seals, walruses, whales, and polar bears.
Dogs and cats - DOMESTICATED dogs and cats - are routinely consumed by many cultures. Goodness, the Torah and Quran had to make the eating of dogs a sin in order to stop it.
There were dogs in pre-colonial America that were raised to be evil eaten. The Spanish liked the Taino's Aon so much, word has it they ate it into extinction. Lewis and Clark ate dogs in their travels. Koreans eat over 2 million dogs a year.