Yes, you can. You can see thumbnails for up to the last four Story videos on the Story page (bottom), where they can be selected and deleted.
- Is Nokia Refocus app available for my Lumia phone?
- What is the Creative Studio application on my Nokia Lumia device?
- Can I share my cinemagraph in Social networks other than those supported by Windows Phone 8?
- Lines that are straight in real life appear broken in a stitched image on Panorama. Why?
- Why do stitched photos sometimes have ghosting effects with Panorama on my Lumia device?