No you can't. This due to the fact you'll be unable to install the driveres necessary for the device to work properly. Only MS own Xbox 360 WLAN Adapter will work since those drivers are already on the box.
no only the xbox ones work unfortunatley (since its easy to find cheaper adaters for computers) i tried the one i use for my computer and it didnt work so went and forked out for the xbox one.
No. Unless you by the xbox 360 adapter.