Yes, once you've taken the Sound Check, you can have your Sound Check results emailed to you for future reference.
You can access your current hearing profile on your Audacious Sound Dashboard by logging into your Audacious account. You can also toggle your Audacious Sound on and off to hear the difference.
You can also retake the Sound Check as often as you like. This will generate a new hearing profile each time which you can send to yourself for safe keeping. On your Sound Dashboard you will be able to see the last Sound Check you took and the last one that was applied to your account.