This week's book giveaway is in the OCMJEA forum. We're giving away four copies of OCM Java EE 6 Enterprise Architect Exam Guide and have Paul Allen & Joseph Bambara on-line! See this thread for details.
I sure hope it's not possible without the help of some piece of software on the mobile device. Not sure how JME works - Android has something called Cloud-to-Device-messagin (C2DM) that could be used by a server to send a message to a specific device - but it still wouldn't accomplish anything without an app on the device that is listening for that exact message and takes action based on its content.