Can a user who is filling out a form stop, save the form and complete the form later?

It is possible to save form and continue later. You might consider using one of the following options:

1. How to Enable Auto fill feature - save form entries to continue later 

Auto fill method is based on browser local storage. It is saving the form data on users browser, so user can open the form later and he/she will see the past data. Note - user will need to use same device and browser to access data.

2. How to save form to continue later (Session method)

The Session method is saving the data on our servers. With this method you will need to use two forms, one for session generation and second as primary. Then users will be able to access their sessions from any locations.

Hope this will help. Let us know if you need further assistance.

2. How to save form to continue later (Session method)
I don’t think the step are very clear. I have been able to make 2 forms and direct them from form one to form 2. But I have tested this several time and cannot seem to be able to save the form when I am pretending to be a user.
Help is needed.
Thank you,
Kortni Lasater
...

I have inspected forms on your account and I assume that this form http://www.jotform.us/form/60956306750155 is the form for session generation. 

When I inspected that form I only noticed that you are redirecting your users from that form to your other form. 

However you also need to create Form Autoresponder and provide you users link with session email address they used to submit your form. If they do not have session link they will not be able to continue, if they stop filling the form and close the form. 

Please check again part of mentioned guide where is described how to add form URL and append the "?session" to Autoresponder email. 

Feel free to contact us if you have any other questions.