While you cannot get the real BeamNG.drive on Android, you can play excellent physics-based driving games that offer a similar (though scaled-down) experience.
Even fan-made clones often run poorly, causing overheating or crashes on your phone. beamng drive apk mediafire
The developers have clearly stated that they do not have a mobile version (Android or iOS) currently available or in active development. While you cannot get the real BeamNG