Can I transfer the Story album to the other device after creating the Story Album?

Yes, you can transfer the Story album as image file, PDF file, Story album file(.ssf) through ‘Share via’. 

Path : Story album → Select album you want to transfer → Share via through menu key → Choose the option‘Image file’ or ‘PDF file’ or ‘Story album file(.ssf)’ 

If you are unable to view a Story album you have transferred to another device (that does not support the Story album), you must transfer by ‘PDF file’.