Windows 11 Home does not include Group Policy components. Microsoft's official stance is "not supported." However, you can enable the Local Policy Editor (not the full domain-based GPMC) via a batch script. For true GPMC features (like cross-machine reporting), you will need to upgrade to Pro.
It might be corrupted or disabled. You can quickly restore it using a batch script (often found in tech forums), but typically, a simple sfc /scannow in Command Prompt (Admin) fixes missing system files like this. how to install group policy management on windows 11
This is the official method for SKUs that support Group Policy. Windows 11 Home does not include Group Policy components