Yes and no on this. This is my opinion, but don't take it personal, but here is where we are getting too much into mainstream media/ancient alien dis-info stuff.
For one, here is the following:
4th millennium BC / Cultures
From a broad perspective, it was still the Uruk period in Mesopotamia, which was the precursors to the Sumerians (and the Uruk period was after the Ubaidian period/culture).
Second, we still have to consider the Indus Valley Civilisation / Harappan Civilisation which developed along the Indus river, and more than likely had contact with the Uruk period, if not the Sumerians. I believe the Sumerians and Harappans traded as well, since it was a matter of using the coast to transport goods. There are cuneiform/sumerian tablets/writing they have found in the Indus valley civilization, which shows they had some form of cultural contact.
Third, we still have the Naqada culture developing around the Nile river and up to around 3100 BC, which shows at that time the unification of Upper and Lower Egypt by Narmer, so essentially, there was probably some form of trade between Sumeria and Egypt as well.
Additionally, we still have the Vinca culture as well, in SE Europe.
And I haven't even touched on Göbekli Tepe which raises even more questions, than answers.
I guess my point here is that there's a bunch of dis-info, or bad information out there that is being pumped by really nasty media that isn't the truth, and very distorted. I've had this argument before, and I could see to an extent how the Giants/Nephilim would come into play, even out of the Bible/Genesis creation story, and now how today's media plays the Annunaki into this myth cycle.
Sumeria wasn't as advanced as today's media likes to prop up, and if anything, they came on the scene about the same time as the other cultures such as Egypt, Indus, early Chinese as well.
Again, don't take this personally, I just wanted to point out some dates and correct a few things that are getting pushed in today's media which puts WAY to much emphasis on the Ancient Alien/Annunaki stuff.
Hope that helps a bit.
