its imposible if we live without banks, banks are very helpful for the community's economy. starting from saving, deposit to borrowing. everyone would need a loan of money, and only banks are the solution. so it's unlikely that we live without a bank.
Nothing is impossible. We can perfectly do without the benefits of modern civilization and there are still many places on our planet where the population continues to live a primitive social and economic life, another question is whether it is advisable. Many centuries of human experience have led us to the current working model of the economy and we need to be very careful about experiments in this area, because it is easy to break, but it is difficult to build.