Does jotform have an autoresponder feature?

Is it possible for jotform to automatically sent the customer a confirmation email after the customer hits "submit" on the form?

Yes, you can create an autoresponder email through your forms. 

Creating-a-Form-Autoresponder

Here is another guide that will help you understand the details of the autoresponder.

Notification-Autoresponder-Email-Details

If you need any further assistance. Please feel free to get back to us and we will be glad to help you. Thank you.