This is incorrect because it doesn't understand the idea of the time value of money. In brief terms, the size of the economy, and the amount of wealth in that economy is not fixed. The wealth "pie" is not a fixed size.
The wealthy and most productive can invest in the economy more than others can. So, their wealth grows over time more than those that cannot invest--the time value of money.
What determines the ability to do this is a baseline amount of wealth needed to meet basic needs, food, shelter, etc. Until those things are met, a person doesn't have the excess wealth to invest. Next, the amount invested has to be sufficient to gain a return on that investment that is significant. Having a savings account at your local bank doesn't work today. The ROI in one doesn't even keep up with inflation.
So, you have to consider what the cost of living is versus the ability to invest.
Then there is the current problem that the world, and the West in particular, is undergoing another technological revolution right now. We are moving from the Industrial Age to the Electronics Age. That shift is causing many entrenched institutions and social norms of the Industrial Age to no longer be valid. For those that can't shift or adjust, this revolution in technology will leave them behind. For those that can, it's an opportunity to get ahead.
The idea that "The Rich" are somehow colluding as a whole to keep everyone else down is a myth. It is a convenient fiction that gives losers in society something they can blame other than themselves. That is very much human nature.