Is it possible that I connect my Airpods without an Iphone but with a Huawei, meaning Playstation 4?
It tends to be possible, but it's obviously a little picky.
Look here, there's a guide: https://tipps.computerbild.de/hardware/apple/airpods-mit-ps4-koppeln-das-muessen-sie-beachten-879821.html
Otherwise, I also found an English video that speaks of a Bluetooth dongle that you have to put on the PS4. If you want to see:
I know that Sony is pretty peculiar when it comes to connecting other Bluetooth devices.
You can also connect the AirPods to other devices as normal. It may well be that the AirPods are not displayed as "AirPods".