No, everyone in the first world doesn't have equal access to those things, even within any given country, and the people described as "self-made" disproportionately come from the segment with better-than-average access to them.
I think you may be attaching way too much meaning to the definition of self-made, or perhaps haven't actually looked up the definition. It doesn't mean that someone was able to succeed in a vacuum.
I'm not even discussing the definition of self-made, I'm pointing out that, in fact, the claim made upthread that access to certain things is universal in the first world and they the self-made vary from the norm in other ways simply is (1) based on a false premise, and (2) is not accurate of the situations where the term is used, even accepting that the proposed definition is exactly what it is meant to convey.
