No, all humans are biologically male or female.
Some humans have a DSD that affects the biological expression of their sex.
Culturally we may decide to draw a line around those people to include members of both sexes with DSDs and call them "intersex", but it's simply a cultural label, it is not a fact of biology.
That such people actually were "intersex", or to use an even older term, "hermaphrodite", was an understandable assumption when we didn't have the scientific understanding and ability to investigate subtle differences that we do today. However, we do now know at the biological level "intersex" as an actual biological state between the sexes is not real, and it does not become real even if culturally we consider it a useful way to think about some people.
(To the latter, I must in good conscience recognise that while the term "intersex" is meaningful to some people including some people with DSDs, many others find it outmoded and offensive. The phrasing "even if" is purposeful; I am illustrating the logical boundaries of a cultural concept of "intersex" should it be commonly accepted. I am not suggesting it is or should be commonly accepted).