Yes, you can Change email address by using wp_mail function.
You can check this how to do this
http://www.butlerblog.com/2011/07/14/changing-the-wp_mail-from-address-with-a-plugin/
Use this plugin for user management it supports email address when new user registers
https://wordpress.org/plugins/wp-members/
Use this code in your functions.php file.
function so174837_registration_email_alert( $user_id ) {
$user = get_userdata( $user_id );
$email = $user->user_email;
$message = $email . ' has registered to your website.';
wp_mail( '[email protected]', 'New User registration', $message );
}
add_action('user_register', 'so174837_registration_email_alert');