And let me retract "impossible" to substitute "highly unlikely to the point of approaching impossible."

Once a person has self-identified as to gender, defined as 'everything but physical attributes,' that person will almost certainly modify by Adjectives rather than Noun: GENDER +/- {Modifiers.}  This is commonly communicated by, "I'm a {MAN/WOMAN} but {Modifier(s), Qualifier(s)} in a process of collapsing the totality of social Gender constructs/expectations into a Singularity -- the speaker.  This self-identification has a low-to-high weighting, dependent on the individual.

Including the physical attributes, it is readily apparent that, for unknown reasons, an individual's neuro-epistemology (psychology plus cognition,) for unknown reasons, cross-identifies with respect to Gender.  This cross-identification has a low-to-high weighting, dependent on the individual.  

Thus we can say any individual 'Gender-Bends' to some extent but only within Gender Self-Identification.