Can you be tracked through your Yubikey?

I have one of the Yubikey 5C devices which I use as a physical 2FA on certain services that support it.

I'm curious whether the token the Yubikey generates can be used to track me across services or across different accounts on the same service.

For example, imagine I have two accounts with some provider which I want to ensure aren't at all linked/associated with each other. Both of these accounts use unique emails via SimpleLogin aliases, unique info, passwords, …

2fa accounts devices physical privacy service services support token yubikey