Yes, definitely, bitcoin would survive.
I believe after few years Bitcoin will be the only transaction method in the world
This has some great benefits for which people would like to exchange Bitcoin instead of physical money.
I also believe that but not so soon. Not after few years because the world is not ready for it. There were countries which are not ready or not bitcoin is not yet known. Even here in my country there were parts that still there was no electricity. And there are countries who did not know the existence of computers.