So, a wallet is just a piece of software that handles your private keys. It can't be shut down or shut off by anyone. The only way you can lose access to your wallet is if you lose your private key.

The private key is just a really long unique set of random data. You can save as a list of words that you can write down or etch onto steel. Then, if you ever do lose your private key, you can restore it from anywhere.

So it is tyrant and EMP proof.

However, if you sign up for a Bitcoin "account" with a company that generates the private key for you, none of this holds true because the company owns and controls the key and can lock you out if you fail to comply with their KYC requirements.

The answer is to always only use self-generated wallets, then you can't be shut down or restricted in any way.