No, but the standard chromosome signature for male and female, are not the only DNA patterns that exist. And in some cases, gender dystopia is tied to non-standard chromosomes. 

More to the point, we now thoroughly understand that sexual orientation does NOT always match biological gender. From the terrible things we have done to gays by presuming the opposite (a one to one link between orientation and biological sex) ought to have taught us that we must allow the data (transgender people reporting their reality) to guide our thinking.