Not with Brave, it is not. All of your tokens go into Uphold, and you must go through full KYC (providing your Driver's License and SSN), before you can move them to any other wallet. And no, the tokens your browser says you have, they aren't actually yours or transferrable until your KYC Verification is complete. The amount of tokens in your account before you complete Uphold verification is more of an IOU BAT until you create an account and get the actual BAT.

This is what is also egregious. Yes, BAT is decentralized when you move it around in wallets, but as far as the browser is concerned, all BAT you earn from receiving ads is actually quite centralized.