If your biceps can handle it, it's not overtraining. I wouldn't do that everyday though. You may want a day or two or three in between, depending on how often you can do that same set again. Perhaps up the weight and decrease the reps or sets for a different kind of workout one day and then do a high volume low weight high rep day another day if you want. I'm assuming with that workout, your goal is 'hypertrophy,' which is a fancy word for making it bigger via inflammation of as many muscle fibers as possible, in which case, you're not done at the gym until your arms are torn up completely. This is in contrast to "strength," which is the coordinated contraction of fast twitch fibers in unison to mechanically move a set amount of resistance and usually doesn't involve nearly the extent of inflammation due to no fatigue of the slow twitch fibers and few of the fast twitch.
If you think about it, all the exercises are working the same muscle, which contracts in the same way everytime. The different exercises are for your psychological benefit of doing something perceived different. Of course, some exercises are better at targeting the biceps in isolation better than others without synergy with the shoulders or the momentum provided by easier parts of the contraction.