There are no true flashbacks in Richard Connell's classic short story, "The Most Dangerous Game." The entire story is told sequentially from the time that Rainsford falls off the boat until he returns to the island to exact his revenge upon General Zaroff. Both of the main characters think back about earlier times--mostly about prior hunts--but these reflections are not true flashbacks.
The very last line of the story could be considered a flash-forward, however. After Zaroff congratulates Rainsford on his daring return, he bows and accepts his fate as the newly-hunted prey. The author then skips forward in time for the final line without describing the new hunt. Instead, Connell allows the reader to imagine the result for himself before his ending line:
He had never slept in a better bed, Rainsford decided.