Its not possible if you are living in the City, you always need a bank for financial management and assistance, especially if you are working and paid directly through your bank accounts. Its really important, that people will always seek some bank services from time to time. However, if you were just a simple person, living in some remote areas, or a villager, its quite possible to live without banks for this kind of people only does works in the fields to eat and earn just a few, enough for daily living or good for a week. They dont need a bank for their fund management, I guess.
In addition to that, the world is fast-transforming into more digitalized and some people are now using several digital platforms that will make their fund management be more easier, less hassle and secure. So, maybe, it can be possible this time.
How long has it been since you were in the countryside? If long ago, I hasten to disappoint you - everything is exactly the opposite as you described.
Not only that, even if I live far from the city, I work either in local production or remotely. In any case, I will be paid a salary on a Bank card - and this is where the greatness of country life begins.
With the universal prevalence of the Internet-even in "rural areas", you can pay for purchases by Bank transfer/transfer money to someone/transfer money between your accounts everywhere. Outside the city, you are much more critically dependent on banks because without this infrastructure, cash payments will be much more difficult for you because there are much fewer ATMs for cash withdrawal there than in the city.
You have a rather funny and truly childish idea of life in the country to be honest.
That's the crap that Citibank, Chase and B of A feed customers to make them think the banks are there to assist people. People have conflated the digitization of assets with banks. Cryptocurrency is digital and really has not need for banks (except for centralized ones like Ripple and Tether). All those day to day financial activities could be done with a simple piece of plastic and it could be issued by a credit union. Probably the only thing difficult to obtain outside of banks is money for a home loan as Freddie/Fannie in the US basically make banks take a cut - corporate welfare baked into the system.
You could easily have a digital device that reads a cards magnetic strip and does a blockchain transaction at the point-of-sale. In China most people are using their phones for payment. It's only a matter of time before that central server that tracks your Yuan gets converted to a blockchain network.