Not really. The attestation model defined for workforce (enterprise) credential managers/authenticators doesn't really work in practice for consumer credential managers.
Avoid weasel words please. Is it possible in theory to use attestation or any other Passkeys feature ever to prevent a user to use any software they chose with any service they chose?
But in reality, the people who actually work on these standards within the FIDO alliance do not want a world where every website/service makes arbitrary decisions on which password managers are allowed. That would be a nightmare.