Um, I think (someone correct me if I'm wrong) if you want to do 2 socks on the **same** needle, you have to use magic loop. I've done this method, and I've found it very doable and useful.
If you mean having a sock on each of 2 needles (switch off from 1 needle to the other), you can do that. I'm not sure, though, that the 24" would be short enough to do one sock. You might have to use magic loop for that also.
You could also do 2 socks on 2 circulars (the fronts on one needle and the backs on the other). I am currently doing this with 1 sock, and I would think you could do it with 2-at-a-time.