How can I make a form that allows the user to return and edit previous entries

I would like to have a form where a user enters a series of names and email addresses, and when they submit the form emails will be sent to those addresses. Easy so far (at least with JotForm!). My question is: Is there a way to make it so that user could come back and pull up their previous form data from the database and edit their entries?

If I understand you correctly, you want the user to have an option to edit the form data they have submitted. Yes, that is possible. You need to add an autoresponder email to your form. After that, add the {edit_link} in the Email Content. See the screen animation below:

1. Login to your account and open your form.
2. Go to the Settings section page and click the Emails tab.
3. Click the Pen (Edit) Tool button in the Autoresponder Email.
4. After that, type the {edit_link} at the bottom of the Email Content.

5. Here's the autoresponder email I have received. The user just need to click the Edit Submission to go back to the form and make changes then click the Submit button again.

Related guide: https://www.jotform.com/help/325-How-to-Edit-Submissions-Made-on-Your-Forms

Thank you. That's exactly what I needed.