Yes, Pirate Ship allows you to schedule an email that sends the tracking number to your recipient. You can customize the way this email looks and verify the email address it will be sent from by going to Settings > Tracking Emails.
To use this feature, make sure you include an email for your recipients when uploading a spreadsheet of addresses or created a single label.
Alternatively, if you’d like to import the tracking numbers into your own email system, you can download the tracking numbers. Navigate to the “Ship” page, click on the desired batch or single label, and click the blue “Export Data” button.