Yes this is possible.
I would recommend creating a fake page with the use of query vars.
For example you have domain.com/some-url.
With the use of a query var you can ‘create’ a new URL, something like domain.com/some-url?newpage=true.
That page can be generated from the same page.php using an if.
if ( get_query_var( 'newpage' ) ) {
// do something
} else {
// normal page load
}
If it works, you can rewrite domain.com/some-url?newpage=true into anything you want.
