Well, yes playing video games can help you improve the hand eye coordination. First, you should know that according to some researches, video games have a positive effect on the development of hand-eye coordination. For example, video games give players a number of tasks to perform, such as jumping on platforms, shooting at moving targets or controlling the ball on a basketball court. As gaming environments are ever changing, players must adapt quickly and put their hand-eye coordination skills to the test. So in other words, it can improve the ability to evaluate information about a task received from the vision system and direct the hands to accomplish this task. Anyway, it can be good for the hand eye coordination.