Yes, It can be done by using Sheet library option.
"When you insert a live data sheet into your story, the current selections of the app are saved with the sheet. every time you view this sheet in your story, these selection will be applied and will show updated story"
Please refer to the sample attachment (Snapshot and Sheet Library story methods attached)
Just tested with functionality with Qlik Sense 3.1 SR3 (when ever data get reloaded/refreshed then Story will get updated by automatically just make sure to use Sheet library option.)
I you wish to go for pixel perfect /advance report design formatting and then email distribution then you can go ahead for Nprinting 17+