I think it's probably a little bit harder than you think with all the rules and regulations out there. I would highly encourage anybody who's remotely interested, listen to the Acquired podcast episode regarding Visa. It's actually quite fascinating how it was started. You may balk at the length, but the whole thing had me interested.
India built RuPay, China built UnionPay. There's no reason why Europe can't do the same.
My takeaway from the episode was that its actually really easy to setup up visa, you just need to get the banks, vendors, and card issuers onboard, which should be easy if you're the government
In the Netherlands, before VISA, there already was a national debit card standard called PIN [1]. Sure, times have changed and it's probably not super easy, but it's also not going to be super hard.
[1] https://en.wikipedia.org/wiki/PIN_(debit_card)