Peace is only possible in theory, like a lot of things. It means different things to different people so peace, at least by the broad dictionary definition, really isn't something society can agree on how to get there. For one person, peace might mean no more war or violence, ever again, while another person's peace might mean don't sell destructive goods like tobacco, drugs and alcohol that create wars and ruin lives. For the person who sells that stuff, to the drug dealer, the ceo down to the cashier at a lotto booth or a liquor store, that means a job. That means money, so if peace for the greater good conflicts with money and the means to live, people aren't gonna go for it. Some people might also think the pursuit of peace contradicts the idea of freewill and the freedom to choose.
Where does peace begin and end and how do you define it in the real world? Someone might think peace is simply minding your own business and finding a better way to resolve a problem, while someone else might think peace means god, religion, or holding hands and singing harmonious songs in a circle. Where is the idea of peace separated from debate or arguing, what if a country fires a missile, what if peace means you must surrender your weapons, whatever weapons you might have for the greater good. It's an interesting question because everyone's vision of peace and how to acheive it, while kind of the same, is different. Because everyone's idea on what worldwide peace means to them, and how to get it, might conflict with someone else's, it's probably not realistic. It's not a lie, it's just not realistic.