Yes, it depends on the the database, but most do have an option to Permalink. In Start Your Research on the library homepage, the a citation's full record displays the permalink option on the right side of the page under Tools.
In a list of results, you can also find the permanent link at the top of the page.
This process works in all databases we subscribe to through EBSCO. If it is a different database or a journal publisher, you can use this link to find how to permalink an article. https://guides.library.txstate.edu/linking