I guess it would depend on the type of touch screen and computer that you are using. I don't have a whole lot of experience with touch screens, but isn't touching a touch screen equivalent to clicking a mouse button with a normal screen??
If this is the case, then if the operating system on that computer is supported by LabVIEW then it should definitely work. All you would need to do is build the LabVIEW program like normal, and put it on the touch screen computer.