Certainly. Of course, you may experience some issues fitting it into the case as well as possibly having to make a custom mount to hold it to the motherboard. If you succeed at that, though, it should definitely do its job of pulling away the heat from the processor. (If the processor is mounted on the upper, keyboard side you'll probably also have to remove the keyboard and use an external one).
Of course you can, just be prepare to cut a hole in the bottom of the laptop and have this massive cooler sticking out of it. Just be careful and don't put the laptop on your lap while naked, because you would probably get circumcise.
The solution that worked best for me was a laptop cooling pad. Many are available. I built mine myself using some extra case fans chosen for low noise levels.Copper was used (arranged like a mattress innerspring) for heat transfer from notebook to my cooling pad. Silent, light and cool. Easier to buy one - I was only trying to use up stuff in my leftover parts pile.