It still mostly depends on being born into it. In the US your odds of going from impoverished to wealthy are extremely slim and socioeconomic mobility is among the worst compared to other developed countries. The US falls behind South Korea, Lithuania, Estonia, Singapore, Malta, and Slovenia, while the Nordic countries top the list.
Depending on the study, socioeconomic mobility in the US has either stagnated since the 1970s or actually declined. Average people have little hope of substantially improving the situation they were born into while the percentage of people born into wealth (but not the 1%) who slide downward in socioeconomic status grows. Wealth inequality continues to accelerate at an insane pace. (https://en.wikipedia.org/wiki/File:1962-_Net_personal_wealth...)
Just about everyone would like to be one of the "elites" but most people would be happy with a fair chance to meaningfully improve their lifestyle.