No, the South American Green Terror (Andinoacara Rivilatus) can not breed with anything outside of the Andinoacara family.
If it could you would see videos all over YouTube of Rivilatus crosses. They are just like most of the rest of SA cichlids can only breed with it's own kind. Red Terrors (Mesoheros Festae) are the only SA that I know of that can cross with Central Americans