Posts on Instagram can be deleted. To delete a post, open your profile and open the post you want to delete. Tap the "…" icon in the upper right corner of the share and select "delete" in the pop-up menu. If you want, you can choose the "archive" option in the same menu, and you can continue to keep the post on Instagram even if you have removed it from your profile. To delete a story, open the story you shared and tap the "..." icon at the bottom right. You can delete the story from the menu that will appear.