Thanks for reaching out to the wefugees-community!
I am sorry for the delay in answering your question and hope this finds you well. If I understood you right you have been granted the refugee status in Greece. You can get married indeed if you hand in the required documents.
You can find further information on this website: https://www.refugee.info/greece/marriage-in-greece/getting-married-in-greece?language=en
I hope my answers were helpful and I would be very happy if you would contact me again with further questions. I'm a consultant with mbeon and I‘ll be glad to help you over a longer period of time. Mbeon is an online advice for migrants via the mbeon app, which you can install on your smartphone for free. Download it from App Store or Google Play Store. You can find me in the mbeon app and get confidential individual advice in a secure virtual space without other people reading our conversation. Further information: www.mbeon.de.
Best regards, mbeon-Rukundo