Can androgen-insensitive genetic-males get pregnant?
Short answer
People with androgen insensitivity syndrome do not have a functional uterus and cannot bear a child.

Background
Androgen-insensitive genetic males may develop female genitalia and internal female reproductive organs. However, in both partial androgen insensitivity syndrome (PAIS) and complete androgen insensitivity syndrome (CAIS) the uterus is absent, or is present only in a rudimentary form. 

The reason for the absence, or rudimentary form of the uterus is the fact that Mullerian inhibiting substance (MIS), produced by the Sertoli cells of the fetal testes is present. MIS controls the regression of the mullerian ducts, and in its absence in XX females, the mullerian system develops into the uterus, oviducts, and upper vagina. However, in XY individuals with CAIS (and likely also with PAIS), MIS is produced normally by the testes resulting in inhibition of the growth of the uterus and fallopian tubes (Oakes et al., 2008).

Reference
- Oakes et al., J Pediatr Adolesc Gynecol (2008); 21: 305-10