FWIW, I don't know about the subject of this post, but I've spent a lot of time around some of the places where people with the most charmed upbringings congregate disproportionately. People who never had anything bad happen to them are in the minority even there, though they do exist. But it's pretty important in many "success" (very privileged) circles to project that you're also a "success" person, and people will spin their origin stories and circumstances for that. Doing so can be intentional, subconscious code-switching, or simply mood/context.
Also FWIW, I think Brown has need-blind admissions now, and (like I imagine a lot of schools lately, now that there's more awareness), an applicant's story about how they got to that point matters. In Brown's case, I bet they still genuinely want diversity of experiences, social justice, etc. (Though a diverse-experiences student applying to a prestigious school will still have to stand out among all the "success" people, many of whom are professionally coached on how to hit the right qualitative notes for admission criteria and perceptions.)
Find your opportunities, put yourself out there and at risk for things you want, and see what you can make happen.
And as you do this, and encounter problems you can't solve for your own personal situation, try to improve them for others, now and in the future.
Maybe that means raising kids and trying to give them more than you had, maybe that means helping a few random individual people whose problems you recognize, maybe that means fixing a systemic problem more directly.