treyb I don't think there's an extension to add arbitrary links there.
It wouldn't be very difficult to create a custom extension just to add a link, it's just a few lines of javascript but it requires compiling and installing it like a regular Flarum extension.
In Formulaire, you could also use a profile form, which will be linked in the sidebar. You can make the form only visible to the owner and mods. But a downside for this use case would be that you can only create one "submission". Then it'll be associated with the profile. You could have mods erase the content of the fields after the request has been handled, ready to accept another request if needed. But doing so won't cause a new entry to appear in the list of submissions since it re-uses the existing submission. I don't remember whether I allowed deleting profile submissions from the forms management panel. If permanently deleted that way, then re-submitting would appear as a new submission just like for standalone forms. But then you could not keep historical records if desired.
The custom extension to add an arbitrary link is probably the better option for this use case. Contact me via the support email if you need help with that, I could make you something simple.