Forms and Individial users

Can the forms be saved back to Box into individual users folders?

If you meant to ask that if you can group the forms into a folder then please visit the details description on how to do it 

https://www.jotform.com/help/204-How-to-Add-or-Group-Your-Forms-into-Folders

To know how to hare share forms with sub account users visit 

https://www.jotform.com/help/232-How-to-Share-Forms-with-a-Sub-account-User

Hope this helps