Not only it's possible, but it has been done many times before, and a lot of modern business software is still built on that. You know that old fashioned XML thing? It has schemas, and those schemas come with a lot of predefined types including, specifically, a whole family of ISO 8601-related types:

https://www.w3.org/TR/xmlschema-2/#isoformats

And so you can write a web service in Java and use it from C#, or whatever.