Technically you could with a wired 360 controller. The problem will be mapping all the necessary buttons and the fact that your reactions aren't going to be as quick as someone who has a mouse and can just lay their crosshairs over you while you need to steer it there.
p_q I am the most fosiphicated. Two monoclometers. - Daniel_Hibiki
I have a wired XBox360 controller that I've tried with this game. Aside from sensitivity issues, the 2 biggest problems are you can't get weapon switching to work right and if you try to aim down your sights with one button, the second you try to fire it cancels out and won't let you do both.