Hello Kon. Panormitis certainly holds baptisms as I've seen many thete when I've visited the monastery. I don't think there would be any problems as your relatives on Symi could probably organise it very easily. Although I'm nominally in the "don't know" school re miracles, I personally know two couples (one English) who had tried for many years for children. Both went through every test in the book and finally had a special service at Panormitis. The English couple had a son and brought him back to the monastery to be baptised.
The Greek couple had a son, followed by twins two years later! I joked with them, asking if there was another service to stop it!