License for owning pets?

Hunting and fishing is too different than owing an animal, hunting mean you killing animal and fishing also mean you killing fish for your food, owning animal doesn't mean that you are killing then or hurting them it mean you are giving them space and your love. If there is license for owning an animal than I bet it would be very difficult for people who to adopt stray dogs and cats. because official work also take time and ofcourse money.