Yes, there are two ways to save your progress:
- create an account with your email or
- link your Facebook account
Both of these are accomplished by tapping your profile icon at the top left of the Cosmos screen.
Once you have done one of the above, you can access your saved game on any Android or iOS device:
- on the title screen, tap the profile icon on the bottom left
- select 'Email Login' or 'Facebook Login'