Maybe not. Argentina used to be a wealthy country until the 1950's. However, since the 1940's its economy has been losing steam.
As the Argentine economy deteriorated relatively to the U.S., income inequality plummeted. The data is partly absent, but Argentina's income inequality in the 1970's matched the level of the present-day Sweden.
As the economy has somewhat recovered, income inequality has risen again. Good or bad?
The conclusion, however, is straightforward: you cannot improve the lot of the low-income classes by destroying the rich.