It isn’t too clear what’s your actual reason for doing this, so it’s hard to guess the perfect solution.
On top of my head it’s likely you would probably do well to create or modify category template. This will give you control over page source for that precise category.
If you want to do this literally as you put it however it would be much more involved and less robust. The most smooth way I can think of would probably be to use custom taxonomy without archive, so that the URL isn’t “taken” by it.