Yes this is possible, but it is not guaranteed.
An Xbox controller is a USB device and National Instruments products can interface with third party USB devices. However, we do not guarantee that a specific USB device will work. National Instruments does not test every USB device and third party driver available.
Since the Xbox controller is USB, we suggest our NI-VISA driver. This method would require the user to know the specifics about communication with the device, such as the commands to send and receive from the device.
Additionally, Microsoft has an API for the Xbox Controller. LabVIEW can make calls into Dynamic Link Libraries (.dll) through the call library function node and thus send and receive parameters from the API. However, National Instruments does not officially support these APIs.