Can I? Yes, I grew up before YouTube and got to see both the growth of the public internet and YouTube. So, I know how to get along without it.
Would I want to? Not really. YouTube is like many things which have come about in human history, it's got it's good parts and it's bad parts. But, on the balance, I think the good outweighs the bad. The important bit is finding that balance where you get more good out of it than bad.

One of the great and terrible things about YouTube is the low barrier to entry. It's very easy for someone with a passion in a niche area to start posting videos. This means that we can get hundreds of hours of videos showing people removing hornet nests. Or, any other random thing I would have never seen in a world of serial TV. You can also get videos showing you how to do almost anything. Granted, those videos can be outright wrong, dangerous or just really bad. But, you may also be able to discover and start a hobby you would have never known about. YouTube has democratized video sharing in a way which didn't exist before it. And I suspect that, were YouTube to disappear tomorrow, something would pop up in it's place to replace it. People want easy video sharing. People want to be able to find copious amounts of weird and strange things. Sure, if you dig too far into the darker corners, you are going to find something you find objectionable. But, that's always a problem with large groups of people, there's always a few rotten apples which need removing.

So overall, I'm pretty positive on YouTube. Yup, it has problems and those need to be worked on. However, I'm far happier to have a place where video sharing is highly democratized, which has problems with that ease of sharing being abused; than I would be without it. The free flow of information necessarily means that objectionable things will be able to flow as well. That sucks, but it's much better than the alternative.