I think this comes down entirely to how the currency is set up. Some currencies allow this (for instance Tether's controlling company can and do block transact

I think this comes down entirely to how the currency is set up. Some currencies allow this (for instance Tether's controlling company can and do block transactions with certain wallets at the request of the US government). Others which are truly decentralised would NOT allow that directly. This requires a few design properties though: you would want the digital currency to not be trackable from wallet to wallet (like Monero, it would need a built in laundry process) for instance. Since these are design decisions and in the hands of central banks, it comes down to their will... I don't think any of the more vocal or advanced CBDC projects have so far answered these questions. But I might be wrong...