Not from my understanding. The entire organism can be recreated from any cell.
http://www.ornl.gov/sci/techresources/Human_Genome/elsi/cloning.shtml#whatis
Dolly's success is truly remarkable because it proved that the genetic material from a specialized adult cell,
such as an udder cell programmed to express only those genes needed by udder cells, could be reprogrammed to generate an
entire new organism. Before this demonstration, scientists believed that once a cell became specialized as a liver, heart, udder, bone, or any other type of cell, the change was permanent and other unneeded genes in the cell would become inactive. Some scientists believe that errors or incompleteness in the reprogramming process cause the high rates of death, deformity, and disability observed among animal clones.