Answer by
LeheckaG (1826)
No;
at least not for a properly designed, installed, & maintained central Air Conditioning system.
What can go wrong:
Air conditioning refrigerant should not freeze,
but it contains some oil to lubricate your compressor,
old too thick/thin oil could seize compressor.
Often/Sometimes water gets in the refrigerant line during installation/maintenance/repair,
and the water could freeze blocking the compressor/coolant loop.