if you define overtraining according to whatever bizarre criteria the cyclists / runners / sports and conditioning folks use, i'm sure the answer is yes... but when this question pops up it's usually a case of people confusing terms.
as far as i know this term refers to a condition which has a strict definition within certain disciplines. however, normally a young bodybuilder doesn't know the first thing about this business and just wants to know if you can train too much. OF COURSE YOU CAN! Like someone earlier posted, go bench press for ten thousand reps every day... see if you make any progress at all. Now, of course, the young man will ask "well what about this program" and probably list his split complete with sets and reps. There's no way to tell, for the most part, just by looking at this information if one is doing too much training. It depends on a lot of things, but mostly it depends on whether you are doing sensible training.
If you have technique down and don't try to annihilate yourself and then come back two days later, still sore as hell, you will probably make progress and won't have to worry about doing too much. However, if you don't know how to squat and go down with a round lower back, for example, then I would argue that even ONE REP is overtraining. It's too much training... because even one shitty rep is worse than zero shitty reps. In my opinion, if you know what you are doing and aren't overeager, then whether you do 5 sets, 8 sets, or 10 sets won't make the difference between "overtraining" and progress. If you get through five sets and feel great, and then try to do five more and kill your pump, start grinding reps like crazy, stop feeling muscle sensation, just to say you did it or convince yourself that you put in the extra effort, or whatever, then you are going to fuck yourself up via too much training. Knowing when to stop isn't hard. Just clear your mind of all prejudices for "hard work," listen to your body, and you won't "overtrain."