Yes — you can re-share an archived Instagram Story, but you usually don’t “unarchive” it back into your profile feed as an original story entry. Instagram’s archive is meant to hide old stories, and the common way to bring one back is to open the story from Archive and choose Share/Reshare or Add to Story so it appears again to viewers.

How to do it

  1. Open Instagram and go to your profile.
  2. Tap the menu in the top right.
  3. Choose Archive.
  4. Open Stories Archive.
  5. Select the story you want.
  6. Tap Share , Reshare archived story , or Add to Story and post it again.

Important note

An archived story is not permanently deleted; it’s just hidden in your private archive until you post or reshare it again. If you meant Highlights , you can also add an archived story to a Highlight from the archive screen in some Instagram versions.

If you want, I can also give you the exact steps for iPhone or Android.