Hopefully this will save time for anyone looking to run Duplicator on GoDaddy Shared Hosting.
I installed and ran Duplicator and it created the .sql and the installer, but would not create the zip file. I then spent 30mins on the phone with GoDaddy Hosting Support while they tried find their cheeks with both hands and a wall mirror.
They confirmed they do not run the Zip Archive module in Shared Hosting which Duplicator needs in order to create the zip package.