When your talking about receiving that ball from a serve, then no. While setters may "get" the ball from a serve to save it from hitting the ground it is never their goal to receive a serve. In most cases, the back row players will receive the serve and try to bump it to the setter who will, in turn, set it to the hitter. In a real game, it doesn't always happen this way of course but that is the basic set up for volleyball play.
Volleyball does not have a quarterback position.
setter
The setter.
VOLLEYBALL!!
front middel
Setter
the setter
The weakside hitter is in right front (RF). They are normally opposite the setter.
Setter and spiker/blocker
Hitter Passer Setter
setter or offside/rightside hitter
A Volleyball setter is the front right position. She/he is in charge of setting the ball over to another player of the same team so they can hit it over the net. The setter doesn't HAVE to set the ball they can bump it or anything else they want to do that is just the main thing.