AWESOME question, Maggie! Short answer is "NO", but that's not complete. You can't MOVE something from one Org to another, the way you can "Change ownership" inside an Org. But you CAN COPY resources from one login in one Org to another login in another Org, using the ArcGIS Online Assistant, "https://ago-assistant.esri.com/" (the process creates a "twin", but with a whole different URL).
Remember, though, that a story map may depend on a variety of resources, some of which are inside the Org and others are outside. If you want to duplicate StoryMap "SM1" in Org1 and set it up as SM2 in Org2, and then eliminate the original content in Org1, you need to ensure that all your maps and apps and layers and any other resources for SM1 that are stored in Org1 get copied over into Org2. The Story Map itself is "a shell" or "a recipe" showing what to do with these and those contents. If you move the recipe but destroy the contents, you have only the shell. You need to think carefully about setting up content, using the copying capacity of the AGO Assistant, and then conceivably revising the URL strings in the SM2
