Rewrite URL in address bar for a specific page [closed]

You cannot do this with redirect. Since, by definition, redirect sends browser off to a different location.

You would need to map domain to an actual WordPress installation. It’s not hard to have WP respond to different domain requests, however in your case it’s complicated that you would need it to respond differently conditional on domain in request.

I would say this is possible, but getting hacky. If the page in question isn’t too elaborate and doesn’t require any/much content management I would consider just setting it up as a separate mini-site.