Windows phones Usually can, as long as the 360 is not the white box, which I am unsure will work correctly.
With any model xbox that doesn't need an attachment for wireless should work.

Other than that, everything else you try is at your own risk. My cousin has done it before, but not really a good thing to do depending on how you have your phone setup.
That and also depends if it is a phone able to be used with the xbox.
For information about how to format a USB flash drive, see the “Format a USB flash drive” section of Xbox 360 USB flash drive support.
The USB flash drive must use the FAT32 file system.
Do not forget to check with our site as often as possible in order to stay updated on the latest drivers, software and games.
Try to set a system restore point before installing a device driver. Problems can arise when your hardware device is too old or not supported any longer.Not an easy or should say not a simple thing to do in the long run....You can totally hook up your XBox 360 to your phone's internet via hotspot if you have wireless capabilities for your XBox. You can purchase official Xbox 360 pre-formatted 8GB or 16GB (32GB not available) flash drives from Sandisk or use another brand and format it on your own.This is a great option to backup your game important data and a good alternative versus the proprietary Xbox 360 Memory Unit.Earlier in the month we reported on pretty convincing evidence that showed the Xbox 360 to be supporting external storage in an upcoming update.