Answer
Biologically, mixing genes of animals from different species to make a new specie is science fiction.
Explanation
Animals from different species cannot mix genes to produce new specie. For example a cat and a dog are from different species thus their genes cannot communicate to understand each other. This is to say there is no animal which is a cat-dog. However, closely related animals (donkey and horses) genes could be combined to form a mule which is infertile. However, hybrids are formed when DNA molecules from two different organisms join through a process called recombinant DNA.