Yes, you can download the game to whichever device you don't currently play on and when it opens up to a brand new lvl 1 bakery, tap the top right corner to switch accounts and log in to your current bakery. Since you're here on the forum, I assume you know your ID & password.
You can also on the device you haven't been playing on so far set up a new user ID before you log into your current account, if you wanted to have a second bakery to send yourself gifts