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Yes, that's not a problem. All your data is held on the fitbit servers rather than on the fitbit itself so it's just a matter of connecting any new fitbit to your current fitbit account. You do this by going into the account section of the app and choosing "set up a device". All your data, settings, badges etc will be unaffected. You can even keep your current fitbit connected as a spare / alternative - I currently have a One and Ionic on my account.
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