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 is already in a digital era. Take for example healthcare. There are so many advancements like the fact that an A.I was able to assist in an operation in china. Not just this medical records are now being moved to a digital form.
I'm just talking about one sector. There are various others. The entire fundraising has seen a major shift from IPO's(Initial Public Offerings) to ICO's. There are multiple ways to have a business meeting. Skype video calls etc..
Your post is very general. I mean I can appreciate that you have put out a topic like this. But most people already know about this. The world is becoming cashless as in India Paytm is widely used instead of cash.