Is cocaine both physically and psychogically addictive?

Yes: It has been shown that virtually all drugs of abuse are both. While Cocaine may not be as physically addictive as drugs such a alcohol or opiates there is still a "physical withdrawal" however i would say at the end of the day the psychological addiction is what always brings people back to their drug of choice, unless they are activally doing other support to help cope.

Yes: Cocaine alters the reward centers in brain.