They do.
I landed once at BUR and the pilot overshot the runway. By A LOT (but not as much as the famous plane that went into the gas station across the street).
After we stopped you could hear the engines whine super high and then we backed up to the painted end of the runway.
Note: I was there the night that plane went into the gas station, but going on another flight. Pretty wild.
I didn’t know planes had “Reverse.”
They do now.
http://www.freshpatents.com/-dt20120105ptan20120001018.php
Thrust reversers. They are used all the time upon landing, to slow the aircraft and save the brakes. Never have seen it used for backing an aircraft, but somewhere on the globe they probably come in handy occasionally, in lieu of a tractor to push the plane around.
Reverse thrust can be used to move a craft backwards. I borrowed this off the net:
f circumstances require it, reverse thrust can be used all the way to a stop, or even to provide thrust to push the aircraft backward, though aircraft tugs or towbars are more commonly used for that purpose. When reverse thrust is used to push an aircraft back from the gate, the maneuver is called a powerback. Some manufacturers warn against the use of this procedure during icy conditions as using reverse thrust on snow- or slush-covered ground can cause slush, water, and runway deicers to become airborne and adhere to wing surfaces.