No.
In the .ZIP you must place all the files that GODOT creates when exporting to HTML, no more, no less.
- Create a new folder.
- In godot you export ONLY to HTML and select the folder you just created.
- After exporting, go to that folder and rename the html file to index.html.
- Compresses ALL the contents of that folder to .zip. (it should be a dozen or so files) and you upload that to Itch.
- Remember to check the shared buffer option in itch for the game to work.