Crown placed on 2nd max molar in 2002. Dentist made me bite down on crown to place crown in the gums. Crown flaked. How DDS remove without surgery?

Usually. The dentist will cut the crown down one side and then spread the cut edges. This will loosen the crown so it will come off easily.
Trial and error. may try methods to unseat the crown first. If unable to unseat, then cut off the crown. If minimal damage, consider smoothing the fractured area if tooth is still protected.