There's a cultivar called 'little green skin'. The skin's mostly green when the fruit is sweet. Not a popular cultivar.
In my Socal location, normal harvest time is the first week of November. Recent years have pushed it 1-2 months earlier. Even so, a friend in Glendale had fruits on the tree at the end of December last year, the earliest ripening year for my longans. Nothing seemed to bother his longan fruits though. They were large sized with no flavor.