I am pretty sure the MK103 could be synchronized and that it even was done on prototypes. IIRC the prototypes for the never realized Ta 152 A had an armament of three MK103s two of which were mounted in the wing roots. I think I have a picture, I'll try too look it up.
I read once, I'm not sure where, It might have been a Tony Williams site, that the Germans tried synchronisation of 30mm weapons however the larger cartridges tended to burn unevently or inconsistantly compared to the smaller ones. 20mm seems to have been about the practical limit.