This statement heavily depends on the definition of "war". I don't have the data, but yes, it might very well be true that we have less armed conflicts going on at the moment than any time before.
However, I am convinced that we are currently in an ongoing global war - but this war is very different from the "traditional" ones. Instead of being based on large-scale armed conflicts, it's mainly waging in media, courtrooms, governments, elections and online forums. And the sides in this war are less clearly delineated than we're used to.
But the effects of this war are no less real then those of other types of conflicts; just less obvious.