Yes, it is possible to live without banks, but that wouldn't be the case for everybody. It might work for some but wouldn't work for others. It all goes down to what you're into, if you're just someone that's doing a local business that you're running by yourself and you know that people are paying with cash, then you can decide to stay without bank and accept cash and store at home, which might be risky for you because anything happen.

Depending on your business you can decide to be accepting cryptocurrency as payment too, if your customers are willing to pay with it, and you decide what to do with the coins you get. But one thing for sure is that you will run into some difficulties when it comes to selling those coins.