If he's a PhD student why isn't he trying to get grant money (or, hell, teaching undergrads, there are always undergrads to teach) to get off financial dependence on his parents? In the US at least most PhDs pay for themselves. And it can mean 20-hour a wek jobs that actually take 50+ hours a week but we're not allowed to mention that, so some end up in two such jobs, and it's a great source of conflict/challenge
Hell, I get along great with my parents and have hated the bits of money I've needed to supplement PhD stuff; I wanted to do it independently for my own sense of self-worth. And I'm not a rebel or particularly fiery. And needing money from parents even for reasons of major health issues has really been a downer.
So yes, this sounds to
me like an entitled Rich Kid who thinks the world owes him a living. And I sympathize with his father (found with cocaine on him and he thinks he gets to take the money and be snotty?)
ETA: And I suspect his fellow grad students will resent his not needing to work himself to the bone just to make rent, and do the research on top of that.
But. He can still be that and be an interesting character, I think, so long as the writer isn't being all sunshine and flowers over the character and thinking he's lovely and perfect. In fact, that sort of thing can be really intriguing, the conflict between rebel nature and entitlement/assumptions. So long as the story challenges him there.