Well, I'm not doctor, but I would say no, it sounds like it was massive and sudden. I doubt he could have gotten medical attention quickly enough for today's advancements to have made any difference. 

But...
I would say that today something may have been detected long before, and Bing may have benefited from preventive care, medications, etc. 

Well now you're asking another question! Although I too wonder how much that fall may have affected Bing. 

Hey, I think we all wish that Bing has gotten to squeeze out one more album, or one more movie, but it's tough to go out in better fashion than Bing - showing that he could still make great music, still be a charismatic entertainer, and still play a great game of golf. 

As much as we might wish for one more great album after "Seasons", I could just as easily wish for the 60's to be a decade of better career choices!

I remember a quote from Bob Hope somewhere saying that Bing should only play 9 holes per his doctor instead of 18, which might of caused it. Although from the Day By Day book, this is what I read.
“When I arrived, he [Bing] was closeted with Dr. Sullivan. Upon news of my advent, he rushed out delightedly to welcome me.
On the other hand, the normally imperturbable ex-marine passed me by without a greeting, looking as if he’d just been confronted by a legion of ghosts.
It was many years later that I learned that Bing had told him the following: “I feel fine now but I’ve had unmistakable signs that I’m going soon. Promise me to take care of Kathryn and the children.”
“But I’m just an academic, and anything but a financial wizard, as you well know.
“Yes, but I trust you.”
“You can’t die. Everyone here needs you, myself included.”
“Sorry, but this is one thing that I can’t control. Will you promise?”
“Of course, but I find this inconceivable. Please don’t go.”
“I’ll do my best, but I rather doubt that we’ll meet again on this green planet. Good luck, Bill. You’ll need it.”
And Bing had come out grinning, while Dr. Sullivan stumbled off without a word to his mountain hideaway.“

Bing probably knew the end was soon, although he may not have died when he did or felt like this if he wouldn’t have fallen offstage earlier in the year, or if he would have let himself recover from the fall for a longer period of time.