Yes. The CCleaner Desktop application will detect CCleaner Browser and will clean it like any other browser. If you already have CCleaner already installed, you can open it from the CCleaner tile in CCleaner Browser's Security & Privacy Center. If you do not have CCleaner installed, you will not see a CCleaner tile. If you'd like to, you can download CCleaner here.
Alternatively, you can use the built-in cleaning tool found within CCleaner Browser, which is called Privacy Cleaner. This is also found in CCleaner Browser's Security & Privacy Center.