Yes, Woody Allen was heavily influenced by the Nouvelle Vague, especially Truffaut. In one movie, his character actually steals a typewriter, much like Antoine Doinel.
I was actually reminded more of Antonioni; at least in terms of the look and feel of the thing. The black and white photography, the disjointed framing of people and objects, the vaguely repellent characters all seemed to point towards a film like La notte or L'eclisse.
I don't know about the Antonioni likeness... I definitely didn't see it. The whole thing just clinged too much to its narrative which somewhat neatly resolved itself by the end. There was none of the soul-searching or visual lyricism that pervades through the works (of Antonioni) that you've mentioned. And I definitely didn't catch any influence in the cinematography either... none of those painterly-like frames that are a rather dominant feature of Antonioni's cinema... but I suppose this is rather subjective territory here.