No. I believe that human beings are incapable of living in peace without opression. Peace does not refer to a lack of armed/physical conflict alone, I feel that there is more involved besides physical safety.
Our "civilization" is based on the exploitation of other human beings.
The "state of nature" that exists between individual countries, countries which are not realistically (or really even formally) bound by the conventions and rules of a "society", this state of interaction operates in the same manner.
Just look at Iraq. The United States invaded a foreign country arbitrarily, captured that country's leader, and executed him. They now occupy this country. This is some pretty heavy medieval-style shit going down right here if you stop and think about it in these terms.
Between countries, and between individuals in a "society", the strong exploit the weak, for their own benefit.
Even within our society (I am Canadian), there is, in a sense, no peace. Corporations, empowered by the population's desire to consume, can do whatever they want to us, and get away with it. The government can do the same.
Some would say we live in a society of peace, because we can consume, exploit, and live (or die), in an environment of safety, where we do not need to fear for our safety or wellbeing. While physically this may be the case, economically it is not.
Even physically it is not completely true.
Heck, I got into a fairly serious fight on public transit not three weeks ago, and because neither I nor the person I fought chose to press legal charges, nothing happened to either of us (besides fairly severe physical injuries...).
My girlfriend is harassed on the street daily, by men alone and in groups. She certainly doesn't feel safe from physical harm, not when she is alone in broad daylight.