The only thing impressive about this was the fact that it was two bears. If it's a black bear, people fight those off all the time. That's actually what you're supposed to do, as you cannot outrun a bear and are increasing the likelihood of your own death by turning your back to it. If the bear sees you as a meal, fighting back will make you not worth the effort. But if it's a female bear with a cub that sees you as a threat to it, no amount of fighting will save you.
If it's a grizzly or polar bear, you're just done for.
Attributing this to his martial arts training is a bit of a reach. In martial arts training, you're specifically trained on the strengths and vulnerabilities of the human body. Against a wild animal, all that goes out the window.
