If not, it would be nice to have a button when other people are shooting that says "View Replay of My Last Shot Later."
After the round, when you're presented with the score card, the stats, etc., you could have a button on there that said "View Replays." Obviously, if you clicked on it, you'd be given a list of the replays that you saved, and you could just view them and discard them or view them and save them. Such replays would only be saved, for, say, six hours or until the user starts a new round (at which point the server should erase their temporarily saved replays from the last round.) If the user hadn't saved them permanently at the end of the round, then they're gone for good.
If you can already do this somehow, though, then please let me know how!