Depending on the processor the computer has, you may be able to get the core tracking software installed and running but will most likely run into some performance issues with any more graphically intensive applications.
If you would like to give the controller a try, our web store (store.leapmotion.com) offers a 30 day return period and would allow you to test the controller with your computer hardware. If you're not satisfied with your purchase for any reason, you can contact our support team to process a refund on the order.