Ya it is possible for them to breed... However on the off chance you get a fertile male, you have to take into account that there are varieties of blood parrots out there. Some are just a cross between 2 fish, but some are bred with other fish making them a mixup of up to 3-4 different fish. So even though your chances are 1/10 for a fertile male, its less than that to have a successful breed... And from what I've heard they don't have a good survival rate in the offspring, due to abnormalities in body structure, feeding, etc...
Sent from a cave in the eastward side o a sand dune.