This is a popular style of playing in many genres but has been widely used for blues playing. He blends acoustic styles with an electric guitar and can playing things that amaze and inspire other guitarists. Check out the solo on 'Sultans of Swing' - it is done without a pick. These are various styles that lend themselves to electric playing because of the loud, distorted, amplified sound. These are both common styles but new innovators such as Michael Hedges, Leo Kottke and others have brought new techniques to acoustic guitar.
Examples are thumb slapping on the low strings and finger tapping.
Classical guitar has for years been locked in the same style but nylon string guitars have been used in many ways. Nylon string instruments have found their way into Flamenco and other styles of music. Plus become an instrument for heavy rock and modern pop music throughout the world. The tone is very mellow and the wide neck supports playing with your fingers. But never assume that a classical guitar will be used as classical musicians do.