We swear there is! Pics below to prove it.
When you are on the edit screen for a page, if any links are broken, you will see a message that states, "Link check of [URL] failed X times." Don't see the message? Then there aren't any broken links on that page! Once you fix the broken link(s), the message will no longer show. College Communications and Web Services will also be fixing links across the entire website periodically.
See example message in yellow below: