Yep, I highly recommend you to play ping pong to train your hand eye coordination. But this is not just a simple playing for a while every few days. It totally needs your practicing as often as you can. On one hand, it improves your hand eye coordination, and on the other hand, it also tests your persistence. Besides, when you play, you need to treat it as a real game instead of just playing for fun. If you think like that, you will not try hard so that you will not get the ideal results that you want. On the contrary, you need to focus when playing which can be totally good for your practicing.