Eldritch Knight would be way more likely.His claim was wizard, though, not "someone." If we're talking "someone," then a 20th level barbarian with a 24 strength can go 72 feet.
I've personally never seen a wizard PC with a 20 strength and I've been playing regularly since 1983. And in a wide variety of settings with a large variety of people. I'm sure it happens, but it can't be common enough to leave the range of "technically correct."