EDIT It has been brought to my attention that this is an entirely private initiative and has nothing to do with the pharmacies on Symi or the Symi clinic.
If you follow the various Symi forums on Facebook and other social media you may have already seen this announcement that came through yesterday, 6 June 2021.
It is now possible to book an appointment for someone to come to you at your accommodation on Symi to administer a test. The sample is then sent by ferry to Rhodes and you receive the results by email. They can do PCR, rapid test or self test, depending on what you require.
The platform to book this opens today and the website is www.kavada.gr/symi-island. The local contact is through Eleousa Lambrou and her mobile phone number is +30 6945 790035. She can be contacted through WhatsApp.
Please note, this has to be done by appointment and taking into account the ferry schedules and processing times so please don’t leave it to the last minute.