did you try this page?
The software is now web-based and support for the standalone ended a long time ago. Even if you are not a Creative Cloud subscriber, I believe you can still access Adobe Story Free...
So i've got to be online to use Adobe Story? I can't download it?
...I can't guarantee i'll always be online whenever i have to use Adobe Story.
When you refer to 'standalone' do you mean the way you can download stuff like After Effects & Photoshop (when you've paid for a Creative Cloud membership), & use it whenever you fancy, on your computer - wether you can access the internet or not (at the time of using)?