I realize this thread is old but will respond anyways. Yes its possible for them to breed but no its not possible for them to have viable fry. South American Cichlids can't successfully hybridize outside their genus except for Festae. All Central American Cichlids can however.
Awesome Kirin Parrot, I have 7 myself. http://www.monsterfishkeepers.com/forums/showthread.php?464381-Kirin-Parrots&p=5788559&viewfull=1#post5788559
Oh and its been awhile Doug, sad to see they won't let you back.