Yes. And, did you notice the absolutely cold way the two Dons "embraced" each other?
Yes extremely cold, and Barzini made little effort to show respect to Vito on his daughter's wedding day. It was clear he was there cause he had to be, but by seating himself away from the festivities he was sending a message that he didn't want to be there.
One of the better foreshadowings in that scene was when Barzini made sure his picture would not be taken by ripping the film out of a camera......later his mug was on the front page of the Daily News.