Não.
A Disney Wikia tem uma lista completa de todas as espécies de animais que aparecem em Zootopia. Eu não vou copiá-lo aqui já que é ridiculamente longo, mas basta dizer que ( negrito enfatiza o meu):
According to Disney, the only mammals that do not appear in Zootopia at all are primates (monkeys, apes, and lemurs), domesticated dogs and cats, and marine mammals (whales, dolphins, pinnipeds, etc). This may have been due to the fact that Disney considers primates too similar to humans, dogs and cats too domesticated (though dingoes (descendants of dogs gone feral) are featured in the book The Stinky Cheese Caper), and marine mammals too difficult to accommodate in the setting.
Podemos ver a motivação de alguns cineastas em tomar essa decisão em esta entrevista com Andrew Millstein, presidente da Walt Disney Feature Animation (ênfase minha):
BS: From what I have seen, there are no reptiles or birds in the movie; it was mammals except for humans and apes. Was there a reason for cutting out other species?
AM: From Byron and Richs’ perspective they just wanted to limit the scope of the world and they had to make a choice and they handled it that way. But you are right, the reptiles and birds are not there. It was just an issue of ‘where do you draw the line?’ Essentially, for the characters it made the most sense for the story.
O mesmo raciocínio poderia ser usado para explicar a ausência de mamíferos marinhos, répteis e aves. Veja também a seguinte imagem twittada pelo diretor, Byron Howard :
Agradecemos a @Valorum (o OP) por ajudar a encontrar a entrevista e a imagem acima.