Here's why:
* Different species: Peacocks belong to the genus *Pavo*, while wild turkeys belong to the genus *Meleagris*.
* Different chromosome numbers: Species need to have compatible numbers of chromosomes for successful reproduction. Peacocks and wild turkeys have different numbers of chromosomes.
* Different mating rituals: Peacocks and wild turkeys have very different courtship rituals and behaviors.
While it is possible for different species within the same genus to sometimes hybridize, the distance between peacocks and wild turkeys is too great for this to occur.