Well, yes, generally speaking, men have better hand eye coordination than women, and that has been reported long before. And that is also why men are more likely to play sports well. In common, hand-eye coordination is the ability of the body to use what the eyes are looking at to direct the hands in motion. Of course, you can just try some ways to improve your hand eye coordination. For example, you can play video games which require lightning-quick hand-eye coordination. Also, you can just grab some coloring books and crayons and color away, and that can be effective too.
Because men have better ability at the control of the left brain, they will have better hand eye coordination than women. Actually the hand eye coordination could be improved through the common exercises. If your child is weak at this, you could find some exercises to let him do the practice to improve it.