This is very possible. The Blockchain technology is a revolutionary one with a lot of significance. As the people become more familiar with it, the adoption and utilization of the Blockchain and cryptocurrency will increase which will gradually lead the world to cashless.
The world can't ignore that blockchain technology which provide decentralization with it's p2p is the best methode to save data. It's very hard to attack blockchain network when the data is spread to many place. Blockchain also provide transparency so that everyone can see the data. Blockchain technology is become the most reliable method for cashless society concept. We don't need to wait our government to legalize it, without legalization from government we still can use our bitcoin directly at some place. Bitcoin don't need government but government need bitcoin and blockchain technology.