If you look in OCLC (the largest cagtalogue of library materials) there are multiple works with the title “The Purim story”, most apparently are childen’s books from frum publishers.
Note the the question did not ask about “Megillas Esther”, attributed to Esther and Mordechai, though I suspect they probably outsourced to a professional writer (a “ghosy writer” in American parlance), since most people with big government jobs don’t have time to actually write their own books.