We don't, but the ShowerCap website is specifically designed for mobile devices. If you load http://showercap.us into your phone's web browser, everything will work as expected, and look familiar. Some browsers, such as Chrome, allow you to turn an application into an icon on your phone's home screen so you can access it like an installed app. Look for instructions on how to do that from your browser's vendor (we will provide some here at a future date).
We may develop a mobile application at some point, but for now, our plans are to enhance the web application first before focusing on specific platforms.