I'm not certain, but I highly doubt it. The touch screen most likely wouldn't work even if the screen did. If the screen has the same hinge and is the same size and all of that, then it may work. It'd also need the same cable that connects it to the motherboard, which I'd guess is probably a bit different on a touch screen. I'm no expert on laptops, especially not laptop screens. If I was in your situation I'd get my hands on the exact same type of screen as the broken one. Some more info on the specific laptop and screen you plan to use as a replacement would help.
In the meantime you can still use the computer through an external monitor if it has some kind of display connector. You'll just lose the portability.