No, but if the parent's question goes beyond "how can this happen with reals" to "how can this happen with numbers in general", this answers his question.

The very next example on the page is "imagine two complex numbers with the same magnitude and different angles". For that to answer the parent's question, you'd have to assume he stopped reading immediately after seeing the part he quoted.

The question is why the page says "imagine two real numbers that aren't comparable".