I just purchased The Journeyman Project 2 and am wondering if I can play it using my xbox controller.
Thanks for your help

If I am not mistaken Buried in Time doesn't have any controller options, but you might be able to if the controller comes with software to map specific keyboard keys to the controller. (For istance one of my controllers can have a button, like the space bar mapped to the button on the joystick, so when I press that button it makes the computer think I pressed the spacebar.)
If it allows for this, look in the manual for all the keyboard commands. But I don't really know how this game would run on an Xbox controller...it's very traditional PC/mouse-based game. If the movement/look buttons are bugging you (having to click with my mouse to look left, right, up and down was a big hassle) try using the numberpad on your keyboard. It does the same thing but you don't have to move your mouse down to the righthand corner of the screen and you can move much more quickly.