OpenTripPlanner for Android does not collect any information about you or your device. Note that to plan a trip, the origin and destination of the trip is sent to an OpenTripPlanner server so a path between those points is returned. The OpenTripPlanner server may store those origins and destinations. These servers are independently maintained for each geographic region - a list of public OTP servers is kept in the OTP Server Directory (a Google Docs spreadsheet). You can contact each of these regions to find out more about their specific privacy policies.
Please note that OpenTripPlanner for Android uses the Android Maps API v2. To see Google's privacy policy for the Android Maps API v2, which is operated by Google, please see the Android Maps API v2 Terms of Service.