MOE is using our enhanced version of Android ART. MOE 1.3 uses a version from Android 6, MOE 2.x is based on Android 7. This means, any standard Java code (using java., javax.), that works on Android, should work on MOE as well.
I don't know if the ScriptEngine API is supported on Android. Theoretically it should work, as long as the ScriptEngine implementation does not use unsupported features, like invokeDynamic.
Thanks @pkirill for sharing your experience with Rhino on MOE, good to know, that it works fine.