A pineapple, which is really a bunch of berries from the Bromeliad family, will only fruit once in its lifetime. However, the pineapple itself may be transplanted. Pineapples are an odd plant. Unlike common misconception, they do not grow on trees. Pineapples are also self-incompatible, meaning one kind cannot pollinate another. That's probably why they've evolved the ability to regenerate from their own fruit.