Attempting to automate moving a report from Marketing Cloud's Import Folder to the Export folder, or from the Reports folder to the Export folder, and encrypt it. However, I don't show that the file transfer offers this capability, only to export from Marketing Cloud's Safehouse location. Unfortunately, as far as I can tell, you can't create a report definition and send it to the Marketing Cloud Safehouse. Is there a way to automate a file transfer from one Marketing Cloud SFTP folder to another?
You can request Salesforce Support to provision the Data Extract Activity "Enhanced FTP File Move and Copy" to your account which gives you the option to move or copy from one folder to the other. I would love to add link to documentation, but when I asked why this is not documented I was told it was because this is not an officially supported feature sigh