There are mods that allow you to tame animals, even some go as far as making the game into a pokemon style collection and battle system.
However, I'd like to see updates to animals with a future release. Mostly so that wolves, move in packs, and hunt other animals. I'd rather see a deer run by my screen being chased by a pack of wolves than just see either one in isolation. And not interacting. Pigs should be hunted too, and get aggressive at close proximity.