Can my user fill some of the form and then continue later and the text will be saved?

and i have another question: can my user fill some of the form and then
continue later and the text will be saved?

Yes it is possible to achieve your requirement and here are the options available:

1. Auto Fill feature:  You can enable the "Auto Fill" feature of your form which will save the input data every few seconds. Please be noted that auto fill feature saves the input data in browser cookie. That means if the user access the form again from other browser, other system or clear the browser cache, the saved data will not be accessible. The following guide should help you:  http://www.jotform.com/help/227-How-to-Enable-Auto-Fill-Feature-Save-Form-Entries-to-Continue-Later  

2. Save input data in session: User can save the input data in session that is stored in our server. Please be noted that this feature requires two forms and the main form should have the "Page Break" field. The data is saved only on the click of the next button. The following guide should help you:  http://www.jotform.com/features/save-and-continue/  

Hope this helps.

Do try it out and get back to us if you have any questions.