Origin: Peru. Tastes like: Gooseberries, kiwi, pineapple, orange. Chances are you may well have seen this South American delicacy garnishing expensive dishes in posh restaurants, or in small, pricey packs on supermarket shelves! And it’s easy to grow! Harvest: late summer-early autumn. Plant out in May. No need to prune or train. Latin Name: Physalis peruviana.In fact, the Inca Berry is remarkably easy to grow; just like tomatoes, except less demanding!