Cats are never 100% domesticated, whether it is a tiger or a normal cat.
Thats the beauty of them, thats what cat owners admire about them. Their instincts remain largely unchanged even after thousands of years of human interaction. That is the "exotic" thing about this species. They are independent animals that if you let them roam free, are fully capable of supporting themselves. And they know that. The know they do not need you to survive, unlike dogs, who are completely dependent on either being fed or scavenging trash. Cats will hunt their food and deal with their personal hygiene themselves.
That doesnt mean that cats dont show affection, on the contrary they are very affectionate. But they will always do so, knowing that they are simply sharing space with you sort of like awesome roommates, never as your "property".
That's why there is a saying that goes: "a human chooses his dog, but a cat chooses its human"
So the answer is no.
A cat will never be fully domesticated., much less a huge Tiger which is capable of even killing you by trying to play with you or trying to show you affection.
