There is the Arduino Commander, but it doesn't list the Due as a supported device: https://play.google.com/store/apps/details?id=name.antonsmirnov.android.arduinocommander&hl=en.
Another one to try is Android USB serial monitor lite: https://play.google.com/store/apps/details?id=jp.ksksue.app.terminal&hl=en.