No. Only Charlotte came from money. Miranda and Carrie were of middle-class origins. Samantha, the only native New Yorker—while well-polished—was proudly working-class, self-made.
You're talking about some Hollywood thing that I haven't seen and likely never will see.
I was talking about trust-fund people I have met in real life. For the most part, they are shallow, self-centered individuals who can not maintain relationships and who no one really likes.