It is not possible to sail to Santorini.
The island is too far from Athens to visit aboard a sailing yacht in one week. Additionally, Santorini is an island that is best experienced by staying in one of the amazing hotels and resorts lining the volcanic cliffs. The only port available for a sailing yacht to dock overnight is on the other side of the island from the main town. There is not much around the port and it can take a 45 minute taxi ride to get to the town. This is why we recommend flying or taking a ferry before or after your trip and staying for a night or two in one of many the amazing hotels in Santorini.