Well, on Snapchat, the functionality is such that when it comes to Snap Stories, the person who posted it won't get any notification if you replay it. It's different from normal snaps in your chat, where replay might be restricted or the sender could be notified in some cases. But for Snap Stories, it's a more public - viewing kind of thing and there's no such 'replay detection' for the story creator.
As of now, Snapchat is designed in such a way that it doesn't let the story creator know if their story has been replayed. So, no one can see if you replay a Snap story. This is different from some other features like when you take a screenshot of a Snap, which can be detected in some cases. But for replays, it remains private.
No, by default, people cannot see a replay of Snap stories. Once a Snap story has been viewed, it usually disappears after a set time and there's no native replay option.