Not if something truly is gender identity disorder. You might not choose who you are inside nor your persistent beliefs and feelings about yourself, but you do choose your behavior.
The real question is whether gender identity disorder exists or if it is a natural phenomenon. To the transsexual person, they don't feel their gender identity is disordered, but their body. They would never choose to be born with a body with does not match with what they assume in their inborn nature. To a transgendered person, they are simply being themselves and feel no distress beyond what society places on them. If there is no distress, then is there even a disorder? If society is the one with the problem with someone's gender identity or expression, then who has the real disorder?