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Instagram lets you hide stories from specific users or show only to Close Friends. Settings → Privacy → Story → Hide story from / Close Friends.
Why hide your story
Reasons: privacy, control who sees it, avoid unwanted attention, manage your image. Settings apply to stories only, not feed posts.
How to hide your story
Profile → Settings → Privacy → Story. Hide story from — select users; or Close Friends — show only to that list. You can revert in the same settings.
Video:
Q&A:
Can I hide my story from only some people?
Yes, in Hide story from choose the accounts.
Will followers know I hid my story?
No, they simply won’t see it; no notification.
Can people screenshot my hidden story?
Those who can see it technically can; hidden users don’t see the story.
How to make my story visible to everyone again?
Settings → Privacy → Story — remove users from Hide from or turn off Close Friends for stories.