The phrase "luck story" refers to a story or situation where luck plays a significant role in determining the outcome. It means that luck, rather than skill or effort, is the main factor that influences the result.
A zombie won't listen to your hard luck story, but some lenders will. (badcredit.org)
With the exception of gold funds, the hard - luck story of the year in the mutual fund business has been funds comprising real estate investment trusts, or REITs. (articles.chicagotribune.com)
Employers don't need to know about your job search — whether it's hard luck stories or funny stories. (resume-now.com)