Going beyond wordpress's permalinks?

So far wordpress can clean up the url structure from /?page_id=123 into /post-name. Is there a way to edit the structure so if i add an extension to it like /?page_id=123&another_id=456, wordpress will clean up the /?page_id=123 part and leave the &another_id=456 part alone? The &another_id=456 extension collects information from a database other than than wordpress so wordpress has no idea how to make it a clean url.

so in the end, it would look like https://www.example.com/post-name&another_id=456.

In my honest opinion, I don’t think wordpress would be able to since it would read the “/?page_id=123” part and convert it and then see an ‘&’ symbol afterwards and merging the ‘&’ with the clean url (after it converts the “/?page_id=123” part) would confuse wordpress and bring up a page error. But I dunno.. Any ideas?