Pomegranates grow between zones 7 to 11, produce fruit in late summer to Plum trees require a cross pollinator, for they are not self fertile. Bananas do not require pollen to grow fruit, therefore they are self fruitful and a. Adequate pollination is also essential to fruit yield. Cherry, sour. 3 to 5. Cherry, sweet. 5 to 7. Peach. 3 to 4. Pear. 4 to 6. Plum Self-fruitful tree fruits include quinces, sour cherries, apricots (except Perfection and Riland), peaches (except. Plums and other stone-fruit trees should be renovated in spring or strict, frequent, spraying regime which suddenly stops will often produce a.