If we're talking about the story as a whole, sure. If we're talking specifically about the two incarnations of Ch. 85 (which I was), let me quote:

This day your war against Voldemort has begun...

Dumbledore had said that, after the Incident with Rescuing Bellatrix from Azkaban. That had been a false alarm, but the phrase expressed the sentiment well.

Two nights ago his war had begun, and Harry didn't know with who.

[...]

Someone had declared war against Harry, their first strike had been meant to take out Draco and Hermione both, and it was only by the barest of margins that Harry had saved Hermione.

Sure, Harry doesn't actually want to kill that unknown enemy -- it is also Ch. 85 where he thinks about how killing Voldemort would make the people of a hundred million years into the future terribly sad -- but he very much does think in terms of a human target at this point in time who he wants to win against.