Yes, FFMPEG supports this through the optional libopenmpt module so PA could play them.
I understand that these formats may seem unpopular but are still used by game developers (especially indie) or the demoscene.
No, Tracker files like ImpulseTracker or Scream Tracker have PCM samples contained within so there is no synth, only mixing.
Support for example IT is shipped on many players like Winamp, VLC and even on WMP.
The Android platform lacks a good tracker player. True, there is an XMP Mod player but it lacks many features and runs on an old API. It would be nice if Poweramp had the OpenMPT library implemented.