Pass Email or Username as Query Parameter

I would like to know if it’s possible to remove the intermediary step of having a user POST a form containing their email/userID to autogenerate the email with reset link?

Either:
1. Have the email sent already have the reset URL with key in it
2. Construct the reset password link with somfrp_user_info=[EMAIL]&somfrp_action=somfrp_lost_pass in it so that the email is automatically sent.

Is this possible?

Thanks