Passkey support arrived in KeePassXC https://github.com/keepassxreboot/keepassxc/issues/1870
Just last week so it's not in any distributions yet, but a binary can be found here: https://snapshot.keepassxc.org/build-235575/
I haven't tried it yet because I haven't been using passkeys because it wasn't implemented in KeePassXC but now that it is I will try on some page which implements it. Just need to figure out who implements it. I think none of the Fediverse services does yet.
Bitwarden is more of a direct replacement to Lastpass, but better and open source with self hosting options (see also Vaultwarden). Keepass is a safe stored and managed by you, no syncing or online services are included.