Yes baby tigers, and lions and even bears OH MY, can make adorable and cute companions when they are babies, but the best idea is to visit them in the wild, at your local wildlife sanctuary or zoo! Owning a pet is a big responsibility a joy and also can be your best friend and closet companion.  When pets are babies they leave their animal families and join their human families! As the weeks go by the new baby pet you've adopted grows and a domesticated animal will become one of the biggest joys in your life, but an exotic pet grows and isn’t so small anymore!
Wolves, Coyotes, Mountain Lions, Tigers, and other big cats, even dogs mixed with wolves and coyotes, should not be considered pets.  Unfortunately, Wildlife refuges wind up with thousands of these animals that people cannot take care of any longer because they have out grown their homes, or they are more of a responsibility then they had expected. It takes generations to domesticate a wild animal. Wild animals are just that, wild and unpredictable, even trained wild animals can be a hazard to their owners.  When these "wild pets" act out of instinct, they may play to aggressively, they may have attacked someone or a smaller animal, and now it is either find a refuge or a zoo that will take them, or they get euthanized.  These animals cant go back into the homes in nature since they don’t know how to act like other animals in the wild, hunt, or defend themselves.  
 
Another reason that owning an exotic can be a danger is because many states have laws that make owning them illegal.  These laws protect wild and exotic pets, and humans that may think owning these type of pets may be a good idea.