you can see many of the same techniques in this Ancient Pankration here
Historical Pankration , that are used in modern combat sports like NHB or MMA.
The continuuity thing is a bit trickier, its been a common theory to link Greco-Roman wrestling to the ancient Greek wrestling, but i think this is false. I think the Greco-Roman wrestling lineage goes back trhough the western and northern European folks wrestling which is also all upper body wrestling to a throw.
I think modern freestyle wrestling is much more like the old Greek wrestling (this is all outlined in that article I gave you at the Florida gathering Jay).
Clearly the Egyptians had sophisticated wrestling techniques, linking them in lineage is very difficult however. Pankration is at least 2000 - 3000 years old and its influence is surely made its mark on many of the folk wrestlings around Europe, but the real question is how much of an influence? Many of the techniques and concepts of Pankration clearly did not make its way into other arts. So its a bit of a yes answer and a bit of a no answer.