Embedly (https://embed.ly/ ), and by extension Medium, have added StoryMaps to their library of URLs, therefore it is now possible to add a StoryMap to a Medium page.
Unfortunately, they seem to have disabled the ability to scroll, and have disabled the parameters you can add to the URL to change the way a StoryMap displays.
This StoryMap: https://storymaps.arcgis.com/stories/53d4e2893a334314b1ab91e1c9cd7b4c
Using URL parameters: https://storymaps.arcgis.com/stories/53d4e2893a334314b1ab91e1c9cd7b4c?cover=false&header=false
And embedding in this Medium: https://callaghand.medium.com/test-84fff9b8e279
So close but yet so far. Hopefully they will tweak it!
And, no, alas, you can’t add interactive maps and apps, they still come up as links which navigate away from the page.