Being my blunt self...Nope...I've been financially independent from my parents since I was 19 years old, and I'm now 61 years old.
I'm in a half-in half out situation. my parents are helping me with tuition so I don't end up with a ton of student debt. I'm am doing more than a full load of credits and because of my parents being well-off I am inelligible for many forms of financial aid. My situation is interesting (and fairly common, I believe) because this assistance comes with requirements. Outside of the basic and expected "get good grades, don't do drugs", for a long time i was not allowed to have roommates, date, or have a full time job.
As for what other people say, I would try to ignore them. Its always easy to criticize others and it doesn't necessarily reflect the entire situation.
Your current situation of not working raises the concern that you are not building any kind of work experience and related resume. At the least you should have volunteer experience in your field. It shows that you can manage your time, relate to people outside of the academic environment, and can be a good way to build a network. It is also a valuable way for you to get a better sense of what type of work you want to seek when you have graduated. Depending on you major there may even be paid positions in your field that would allow you to work PT, on or off campus.
Imagine an employer trying to decide between 2 candidates with identical GPAs, acceptable personalities, etc. The employer needs to then look at what else each candidate offers or has achieved.
You didn't indicate why your parents forbid you to work. It does sound like you are carrying such a full load that it would be hard to add work hours to that but you know how demanding your classes are. If you think that you can handle a PT job then point out to your parents the ways that it could help you in the future.
BTW we paid most of our ds' college expenses; all of the tuition and a stipend that would allow him to live very frugally. (and some of his friends said that he had it too easy, but he also knew plenty of students whose parents paid for everything) We wanted him to work about 10 hrs/week for a number of reasons. Those positions, first for credit and later for pay, have proved very important to him in the years since graduation.
This explanation post completely changes my viewpoint on your situation.
I totally agree with Music.