You should always tell a fun story, and no not a pompus rehearsed MBA d-bag type story, a story that illustrates your humor and perspective on life and business. People get hired all the time based on a story that gives someone a good vibe, a pompus d-bag story doesn’t give a good vibe, hence the uselessness for the purporse. A fun story has use, people are humans.
I wouldn’t force it, but if you get asked about overcoming adversity or about your college experience, then it can work for you.