Most definitely, but it depends on a lot of factors, like how and when the beans and coffee were prepared. Overly fine ground (maybe with a blade?) dark roast in a filter pot? It's going to be terrible coffee regardless.

A high quality bean lightly roasted and ground perfectly just now in a pour over? Two days ago versus two weeks will be noticeably different, three to four weeks after it'll be obvious.

Edit: I'd like to know more of the variables that went into this. "Most people" I know don't drink black coffee, if they drink coffee regularly, or don't drink coffee at all. If you're used to drinking store bought grinds and using a filter pot (or some kind of pod system) then you're probably already a lost cause here.