Send a copy of the form to the person who filled it

Is it possible to email the person a copy of the form they filled out? So they have a copy of the data they submitted?

Yes. It is possible to send a copy with the form submitted data by setting up an auto-responder in your JotForm. Please refer to the guide below that can help you in achieving this.

https://www.jotform.com/help/26-Creating-a-Form-Autoresponder 

Hope this information helps!