As the commenters note the boy does look a bit like young Clinton. He is identified as Bill from Arkansas who says he is interested in the law. Von Neumann died in 1957 when Bill was around 11 so it’s just about possible.
Von Neumann, in case you didn’t know, was a legendary mathematician who made major contributions to Physics, Computer Science and Economics. It would be rather epic if that was Bill Clinton speaking to him. I wonder if anyone has asked him.
This is Clinton meeting President Kennedy in 1963:
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He’s like Forrest Gump!
But more seriously, I’m pretty sure that isn’t him in the Von Neumann interview. I see the resemblance to, but googling teenage pics of Clinton, even at a young age he had a big nose than “Bill from Arkansas”.
(also, other than one pic from college where he has a beard and shaggy hair, the guy has really stuck tenaciously to that one hair-style.)