Yeah, absolutely beer can go bad. Wine and some liquors get better tasting with age, but the one's that do, aren't usually sold until the appropriate time has elapsed.

Also, some other things that can cause beer to get skunked quicker is the varying of temperature. If it is cold, then you let it get lukewarm before chilling it again to drink, there is a good possibility it got skunked, and you will certainly get a bitter beer face.