No. Androgen insensitivity syndrome individuals are biologically female but have Y chromosomes. For a fetus to become a boy, their body produces mullerian inhibiting hormone, which prevents formation of the uterus, fallopian tubes and cervix and in normal individuals results in a male child.
In AIS individuals, the body doesn't respond to male sex hormones and the body differentiates into female genitals, rather than male. So this means that despite lacking any reproductive capability and having a Y chromosome, the baby will to all outward appearances be a female. Then, during puberty, the girl's body converts testosterone produced by her testes into estrogen and she continues developing female sexual characteristics.