Sure.
What I’d do first is make the SQL query in data explorer and allow people in whatever group (e.g., department-members) and see that it does what you want. After that (and it’s really just a couple of clicks there, and you could also make the query so that they could, say, enter the department that they want people to be members of or whatever), I think a theme component could insert a button somewhere that would initiate the download.