Updating a file field without giving edit access to users

I have a form that includes a file field where users upload a document. Sometimes they don't have the document at the time they create the record, and since only the admin has edit access for security reasons, only the admin can edit that record and add the document later.

Is there a way I can allow my users to add the file at a later time without giving them edit access to the form? I thought updating the record with a stateless form but file fields are not supported on stateless.

Another idea was to use a page but I don't see a way to do it without edit permission. Lastly, another solution could be to give them edit permissions but disable and hide all fields except the file field if the user is not the Zoho admin.

Any ideas or suggestions?