No, email is
not bidirectional. You send an email, the recipient later opens it. Sure, the recipient's SMTP
server might respond right away with an ephemeral key you can use to enjoy forward secrecy, but that server has to store the message for the recipient to retrieve later.
You can't have full forward secrecy with email as it is used today. If you want forward secrecy with email, you need three emails sent in rapid succession: Alice sends a request to Bob, Bob sends a response to accept the request, and Alice sends the actual encrypted email. That would work. But you basically need Bob to be online.