MailChimp's confirmation email

And is there a way I can include MailChimp's confirmation email (asking the
subscriber to confirm) in my jotform autoresponse?
...

I did not understand your question. Can you please explain in more details what you are trying to achieve? 

Inside of this guide you can find our how to set Autoresponder email inside of your form: http://www.jotform.com/help/26-Creating-a-Form-Autoresponder 

With Autoreponder your users will receive confirmation email once they submit your form. 

Inside of this guide you can find out how to integrate your form with MailChimp: 

http://www.jotform.com/help/163-How-to-Integrate-with-MailChimp 

Looking forward to your reply.