For me, it can happen, but the percentage on digital money equal to a cashless society is very meager. We all know that there is only a few establishments that are accepting bitcoin comparing to that establishment and companies that are accepting bitcoin as payment. Also, the acceptance of bitcoin is still meager even it is accessible and expensive. Maybe in the future, digital money is equal to cashless society if bitcoin and another cryptocurrency become legal and the acceptance grow.
If I say, we do not need cash if we are having a better a choice and this is important in many other ways. If the Bitcoin is available for fast transactions with lesser transaction fee and as a source of investment with huge profit then why are we worrying about cash? This digital world will benefit us the most and that is what we need to meet with all our benefits so again it has importance in our lives.