No they do not, well if you look closely at a palm tree, they do look as though they carry berries, but really it's the seeds that grow on the palm tree.They do although look like grapes in a bunch....
This is a common myth, the hickory tree actually grows on the hyptheom vine which is commonly used as fertilizer and also a main ingredient in meth labs.
I assume the asker is referring to normal trees other than parasitic species that actively target established trees.....but the answer is.....YES. If a seed (whether dispersed by wind, bird or...