I am trying to create a first person shooter game on the web player can we program it to use xbox 360 controller drivers?
The webplayer works like a standalone player just with a few security restrictions. As long as your controller is recognised by the operating system as “normal” joystick it can be used as such. If you want special features of the controller i guess the answer is no. You can’t use native code plugins in webbuilds. In Standalone builds everything is possible 
One issue is that WebPlayer has no Input Settings dialog for the user, so either make your own Input manager system, or your game may be awkward for non-xbox-controller users.
thanks guys big help