No, it was an exercise in barriers. Everybody [1] has enough "privilege" to do this experiment, by which I mean the experiment itself without the "fair" elements, with little more than a slightly-interested science teacher. They just aren't allowed to do it by the science fair. Being able to speak with "actual" scientists about counting bacteria is at most a slight bonus; it is not necessary to the process, learning about it by reading would be a fine education on its own, and even failing at the process would be educational in its own way, as the author describes in his own experiences. (Science fairs have a major role to play in the pernicious idea that science is only "successful" when it obtains the positive result the experimenter was looking for... but that's a separate rant.)
This isn't someone being born with silver spoons in their mouth. This is regulation thoughtlessly applied with no thought about the costs. If "privilege" issues were as easy as just removing some regulation, we probably wouldn't be talking about it so much.
[1]: Everyone plausibly within the scope of this article, anyhow, which is places that have science fairs at all. That would be a separate issue.