Are shooting stars meteors

Meteors are not stars at all. They are CALLED "shooting stars" because superficially they look like stars that move (shoot).

Meteors are gravel or boulders that enter the Earth's atmosphere at high velocity and friction with the atmosphere heats the outer layers so much that they become white hot (they glow and therefore look somewhat like stars).

If the entire piece of rock does not vaporize during it's descent - called a bolide, the remains (if as large as or bigger than your fist) are, in fact, cool to the touch because outer space is about -270° C. The journey through the atmosphere has taken but a few tens of seconds and has not managed to heat the entire rock to the core.