Actually, that has been done before.
Some time ago-- either just before or just after the beginning of the 20th century, a professional big-game hunter named Jim Corbett (his full name was "Edward James Corbett", and he was a retired Colonel in Her Majesty's Army in India); he was not related, AFAIK, to James J. "Gentleman Jim" Corbett, the prizefighter who dethroned heavyweight champion John L. Sullivan), strangled a leopard barehanded.
The animal surprised him in close cover, and had attacked at such close range that he was almost unable to bring his rifle to bear before it pounced on him.
He had barely enough time to fire a snap shot from the hip. Fortunately, the shot connected, breaking one of the animal's hind legs.
Note: A favored attack method of leopards against opponents capable of putting up a fight is to bowl the opponent over, forcing him/her/it onto his/her/its back. The leopard then pins the victim by putting its entire weight atop the torso area, with the front paws atop the victim's shoulders or chest. The fangs go for the throat, while the hind claws attempt to disembowel the opponent. The theory at the time was that Corbett's lucky shot had not only broken the charge, but also incapacitated the animal by depriving it of the leverage it needed to attack in its accustomed fashion. Corbett protected his face and throat with his left hand and arm, while strangling the animal with his right hand. Once the big cat was no longer resisting, he switched to a two-handed stranglehold, and held that grip until the animal hadn't breathed for approximately five minutes.
Although badly hurt--cracked/broken ribs, severe bruising, and several nasty claw and fang wounds that eventually became infected--Corbett survived.
Sometimes truth is stranger than fiction.

--Foreigner