There are likely emergency services dependent on Cloudflare at this point, so I’m only semi serious.
The world can also live a few hours without sewers, water supply, food, cars, air travel, etc.
But "can" and "should" are different words.
So at this point no, the world can most definitely not “just live without the Internet”. And emergency services aren’t the only important thing that exists to the extent that anything else can just be handwaved away.