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, I guess, it can be possible this time.