You can hide your taskbar using Windows 11 settings, but that won't hide it completely. The only way to do that is to use a third-party application.

You can now use Windows 11 with vertical taskbars, though the feat requires use of a third-party app. Stardock just rolled out an update to Start11 that brings support for vertical taskbars ...

On Windows 11, you can ungroup and show labels for running apps in the Taskbar one more time. In this guide, I'll show you how to complete this configuration.

The latest update to Start11 adds support for vertical taskbars on Windows 11.