Standard Sharpie permanent markers are not manufactured with green ink as a default color for their classic fine-point line—the core lineup typically includes black, blue, red, and green as separate purchases. If your Sharpie is writing in green, it is simply because it is a green Sharpie that you purchased or someone placed in your set.
However, if a marker originally of a different color (like black or blue) is suddenly producing green ink, it could indicate:
In the vast majority of cases, a green Sharpie is just a green Sharpie—part of the standard color assortment sold by the manufacturer.