Possible but not immediately, because of the lack of one unifying force!

With bitcoin growing in value and having more and more technical issue along with its growth pay, I think there will be governments across the world that would want to cash in the opportunity with digital money! And same would be true for various companies too

I predict that 10 years after every country has a national digital currency, there would be a someone who would be able to unite all the countries with a single unified currency