Is it irony if two men are speaking of war, and one of them complains that he is so tired that he is "nearly dead"?

Hello,
I am writing an essay on My Brother Jack, and I am describing a conversation where Jack and David are discussing the war (which would refer to bloodshed, brave lives lost for country, etc.), and David says in disgruntlement that he is so tired he is “nearly dead”.

Would this be irony?
Thanks in advance!