In the sense that infinite monkeys will eventually put out Shakespeare. In reality, money and time are both limited ;-)
(Sounds like I’m kidding but I’m not really. Many of the richest people were very poor at some point. For example, Andrew Carnegie or Levi Strauss. Also Arnold Schwarzenegger started from nothing in the US.)
The best analogy I've seen is that starting a business is like playing a game at a carnival. The more tickets you buy, the more attempts you have to win the prize. Meanwhile most folks are the carnival workers, never being able to get a chance to play the game in the first place.
Most people don’t start a business because they tell themselves that it won’t work. It’s the hard truth that most people don’t want to hear.
If you read about most founders they don’t become rich due to luck or background or whatever. No most of the time they set themselves a goal and then do EVERYTHING to get there. They don’t care whether their parents had money or not. Or whether the market timing is right. They just do whatever they need to do.
To give credit to your position, over in Europe they've a generous welfare state yet very few successful startups so there's definitely a huge grindset factor but you're still cashing in on incredible luck or a comfortable economic position to be able to try enough times to score.
This is why the standard issue techbro advice from semi-wealthy "hustlers" who failed upwards on the backs of a few H1B 'founding' engineers is not actionable, I can at least respect the ones who don't bother with the facade.
....because there isn't enough wealth where they're from to absorb a lot of failures.
Hence they come to the land of opportunity where there are gamblers with money to gamble.
Also, there are a lot more poor people than startup founders.
Hm, there must be more to it.