Not as far as I’m aware? They of course require the target app to be compatible with the way they export them, but I don’t think they vet them manually. At the very least, on my phone, the apps it agrees to export to include Chrome and Bitwarden (the latter of which lets me export them further).
They're also not supporting device attestation which would allow websites to insist on particular implementations of passkeys.
That's more because attestation breaks their passkey cross-device sync process, rather than out of benevolence.
But only to other approved apps
Not as far as I’m aware? They of course require the target app to be compatible with the way they export them, but I don’t think they vet them manually. At the very least, on my phone, the apps it agrees to export to include Chrome and Bitwarden (the latter of which lets me export them further).