Depends on the animal.
Do you remember these guys:
Siegfried and Roy. Two of the biggest acts ever to appear in Vegas. They did magic with live animals like tigers, lions and others. That is until once night in 2003 Roy, I think he’s the one on the left, was mauled by one of the tigers.
Supposedly the tiger got spooked and attacked him leaving him terribly injured. He claimed later that the tiger tried to save him as it pulled him off stage.
They would raise these cats from the time they were young. Living with them and even sleeping with them in the same bed until the cats were year old. But even then they were wild animals and an animal like that can turn on you in an instant.
You can never truly tame a wild animal even if you raise it from birth. Their instincts are still very very real and dangerous.
EDIT: Comments turned off as everybody keeps saying the same things. Yes I said that wild animals can’t truly be tamed. No need to keep repeating that.