No, only altruistic surrogacy in permitted under current Greek law. Nevertheless, surrogates can receive a financial compensation for lost wages and all other expenses incurred during the surrogacy process.
You may also enjoy some further information reading this: What Are the Different Types of Surrogacy? – Names & Definition.
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).