I doubt Obama remembers that, or very many his age. Maybe he read about it, or saw the old black and white film clips about it. But that was mostly done in the '50s and early to mid-'60s. He was born in 1961, and attended school out of the US for his first few years.
Sounds like he was making it at Columbia as he does today.
Like Bill Clinton remembered black churches burning in Arkansas...
Like Hillary remembered being named after Sir Edmund Hillary (the unknown beekeeper)...
I don't doubt he lies at the drop of a hat, but he is quoting someone else in those lines.
Actually that quote is from the Don Kent guy (who is probably younger than Obama)