Yes, driving a moped is covered for medical expenses. However, certain conditions do apply.
If you are riding or driving a moped under 125cc, you must have a license valid for driving that type of vehicle in the country you are travelling in and wearing a helmet as a driver or passenger.
If the type of vehicle is over 125cc, you must have a license valid for driving that type of vehicle in the country you are travelling in and have a valid license to ride this type of vehicle in Australia. In addition, as a driver or passenger, you need to wear a helmet.