NO! The green terrors will take good care of the young, they are great parents.
"The Green terror cichlid will need to be given suitable breeding sites in the tank, such as flat rocks. The Green terror cichlid will then carefully clean the site before any breeding takes place. The female Green terror cichlid can deposit up to 300-400 eggs on the flat rock, and some females will even produce more than 600 eggs each spawning. Do not separate the parents from the eggs or larvae, since Green terror cichlids are great parents. Breeding Green terror cichlids should however preferably be separated from other fish. Not because the other fish might eat the eggs or larvae, but because the Green terror cichlid might very well kill of all the other aquarium inhabitants to make sure that the offspring stays safe. The male will protect the flat stone from potential predators while the female care for the eggs. The eggs hatch after 3-4 days and the adult cichlids will continue to guard and care for the larvae. At this stage, the larvae can be fed crushed flakes. After 9-12 days, the fry are big enough to be free swimming. They are highly sensitive to poor water conditions and can easily succumb if you refrain from regular water changes. Free swimming Green terror cichlid fry will eat brine shrimp. When the fry have reached a length of ¾ inches, they will typically experience a growth spurt and rapidly grow bigger."