Depends on what the definition of rich is.
There is no guarantee whatsoever to become a millionaire for example.
In Germany there was a recent study of who and at what point can be considered rich, with the definition of rich being either top 10% in earnings or top 10% in assets (by age brackets btw).
And at least for Germany, it´s somewhat lower than most people think, and it´s something I truly believe anyone who works hard but, and that´s crucial, directs that hard work into something the market desires after, can achieve.
Of course if your definition of rich is fuck you money, yeah that´s very very unlikely.