Not at the moment. but there are several alternatives.
1. You can use this plugin – https://www.ads-software.com/plugins/post-smtp/ – to get an email log with all emails sent from your website.
2. You can use Google Analytics tracking (utm_ tags), but I’ll need to add some extra fields to the plugin’s options.
3. You can use a mail service (SendGrid, SendinBlue, Mandrill) to track sends.
If you are not interested in the ideas above, how else would you do it? How would you like to see this information?