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.
We use digital money for transactions as payment method in different places where it is accepting as currency. Furthermore it helps us in fastest transactions within seconds and can easily handle from our wallet anytime and does not have to wait for banks. This brought decrease in the business of banks and paper notes because it is now the well of people to be a part of Bitcoin.