If you're running Windows then you can disable the case LEDs in an HP Omen computer using the Omen Gaming Hub.
However, there's no equivalent for Linux and no obvious way to permanently disable the LEDs.
When restarting after a shutdown, the LEDs start enabled but if you boot into Windows and, if you've already disabled the LEDs via the Omen Gaming Hub, they will automatically become disabled again as part of Windows starting up. You can then reboot into Linux and they will stay disabled until you next shutdown and restart.
This is hardly ideal - a more permanent and simple approach is to simply unplug the power connector for the LEDs on the motherboard. It's clearly marked "LED":