It's possible but unlikely. You physically cannot sleep on these drugs without something like clonazepam. So I have no doubt a series of bad decisions could lead to someone being up that long.
However,
psychosis usually sets in around ~96 hours of sleep deprivation. It is however possible that this individual is unique or resistant, or maybe just his youth helped him. When I was 16 and MTV still played music-- I could survive on 2hrs sleep a day for weeks.