No that is the handle pulling forward/off. Just push/pull it back on hard and you'll be good to go. The hand brake has no adjustment, though maybe on the shoes there is some. One is supposed to change them every 10 years, or (probably) 10 hand-brake turns, whichever is earliest

Have never had to do it myself. Sometimes the shoes are just hardened, a 'conditioning' is what the manual suggests the driver do to achieve 'optimum performance'... LOL!