Can I eavesdrop Android touch events?

I'm working on detecting gestures and touches on an Android device. The problem is that my App will need to detect these gestures outside of its own View, on other Apps or even the home screen. In other words, is there a way to eavesdrop on touch events? I would imagine there are a few security measures preventing this. I just need to prove the concept, so I would try this on a development device where I can disable any security that could prevent me from doing this (without causing harm to anyone or exposing their data).