Yes, You Can Grow Beaucarnea recurvata (ponytail palm) Debra Lee Baldwin Succulent Garden, Party of Eight in Temple, TX Woods Flowers I had no clue that Ponytail Palms flowered! I put our 60 year old palm outside at the beginning of summer so it could get the sunlight it wanted and it started Five Little Monsters Jumping on the Bed Once there was a silly ole ant. Thought he'd move a rubber tree plant.