does anyone know if there is a cursive scipt for Greek?
There is: Greek Handwriting. One or two of my older textbooks have marginalia in cursive Greek, but I almost always see print.
In the introduction of Athenaze, Volume 1, there is a discussion of how to write the greek letters, including where to start the strokes, and in what direction, for each of the letters.
There is also a short discussion on forming the greek letters on the web site
http://www.covingtoninnovations.com/pens/
You have to go down the scroll bar, pretty much near the last fifth towards the bottom of the web page to find the discussion there.