The truth is that many animals are unclean. Many are not created by The Most High and are a product of some sick experiment. Only 12% of animals have been domesticated in the world and therefore the fate of the wild animals not domesticated are solely in the hands of The Most High, His laws and judgment in the land according to the controversy He has within it. According to the Apocrypha a third of this world that will soon come to pass is His inheritance, which includes all things, mankind, plants and animals that He made. So unless one of your pets were of The Most Highs creation, then no.