Yes, Kimon, the static ports have been known to freeze up.
No big deal until you climb or descend, and then altimeter doesn't change but the CAS/IAS does. With all the stuff we now have and a knowledge of power and pitch for various flight conditions you're usually in good shape.
Having the AoA sensors freeze at identical angles could be tricky, as you might lose some "protections" at higher true AoA.
Several here have experienced static system problems and are still here to contribute.