Is there any probability that an Enderman can pick up an item/blocks that are lying on the ground? I was going to test this myself but I don't think I would be able find the answer unless I look into the code, which I can't do nor understand.
Endermen can pick up a limited number of blocks. They can also place these blocks in another location. They cannot, however, pick up any entities, including all items, such as tools or blocks that have already been broken.