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I don't think it's possible unless you're setup with Google services and logged in to their shit
but ofc you can plug-in a compatible hardware FIDO passkey via USB or NFC
hardware route sounds fine! Now just need to understand how to try that!
If you're using GrapheneOS or LineageOS, I don't think you're target audience for a cloud company password service. I'd suggest you to buy a FIDO2 token or better two.
can you point me to an instructional somewhere?

Why 2? One for each device, or as a backup?
It's good to register each service with 2 FIDO2 tokens in case you lose one.

Alternatively, you'd need to activate a fall-back 2FA like TOTP instead.

If you do have any FIDO2 question, drop me a line.