A returning member signs up and the form autofills for them from their last submission

Is there a way user text inputs can be remembered from the very last time they've entered data?

For instance, user fills out a form and enters his name, address, phone and email. Since that same user will be filling out this same each month, is there a way to make the browser auto populate those fields for him?

Currently it's not possible to remember the data from one user, at least after the form has been submitted.

Our current methods to pre-load the data will only work when the form leaves the browser and comes back. 

If you want to allow users to have their data pre-filled, then you may generate a custom link and provide it on an email or custom thank you page so they save the link and open it again the next time. The good thing is that if they change any data it will be saved. 

Please check this guide that will help you doing so: https://www.jotform.com/help/71-Prepopulating-Fields-to-Your-JotForm-via-URL-Parameters 

I hope this helps.