Nick Nicholas’ answer to Does an equivalent of cursive exist in other alphabets?
Greek: there was a cursive modelled after Western cursive in the 19th/20th century. It fell out of use long before computers (I was never taught it in school); I have seen it in letters from the 50s.
The main differences to what you might expect: kappa looking like a <u>; pi as an omega with a loop (ϖ); tau as a tall slash; psi looking like a <y>.