No. Both egg and sperm donors are required to be anonymous by law. IPs can, however, specify some particular traits, including race, hair color, eye color, etc. Learn more: Egg Donation in Greece.
Read the full article on: Is Surrogacy Legal in Greece? – Law, Requirements & Cost ( 85).

Sara Salgado
Embryologist
Degree in Biochemistry and Molecular Biology from the University of the Basque Country (UPV/EHU). Master's Degree in Human Assisted Reproduction from the Complutense University of Madrid (UCM). Certificate of University Expert in Genetic Diagnosis Techniques from the University of Valencia (UV).