Yes, you may play the same game data on multiple devices that are running on the same operating system if you sync your game data on cloud.
*Please note that game data cannot be shared between devices that run on different operating systems.

Please visit the following knowledgebase article for more information on how to sync your game data on cloud.

"How do I backup my game data on cloud?"
https://support.eu.square-enix.com/faqarticle.php?id=16761&la=2&kid=77220&ret=faqtop&c=18&sc=0