People CANT survive without internet.
I'm wondering how did my ancestors survived in the past without internet?

The economy was much less efficient and people had a much lower standard of living. Rakitich's statement is somewhat true as we rely very heavily on the internet for several essential services (like health care and transportation).
To answer the OP's question, yes Bitcoin has survive without the internet, but only if the internet is replaced by some other technology that allows for quick communication around the world in mass