No, GSC can only work with urls it finds crawling the site.
You are free to add more yourself manually using a plain text editor
and respecting the format.
But this would backfire as any such url will represent a duplicate of
the real one on your site. Now way would that be indexed in addition
to the normal url.
Not recommended at all to allow multiple urls for the same page.
If you have such urls floating around the web, OK, when a visitor
follows one of those you can pick up the query string using whatever
server-side scripting language, do what you need to do with the
informaiton and strip off the query string and 301 redirect to the
clean url.
>
www.domain.com/test-page.html?utm_source=rss-feed&utm_campaign=rss&ut...