It is possible to get red eye for playing video games. If you could control your video-playing time, it is OK. If you keep playing video games for more than 2hours per day, it definitely will impact your eyes and vision. Keep staring at the same distance for long time, which makes your eyes strain. Eye strain happens because the eye muscles are over used. When you concentrated on your video games, your eye muscles are tighten, which will cause your eyes pain, dry, red, vision blurred and even headache. I suggest you to control the time of playing video games, no more than 2 hours per day. Change the focus of your vision to give your strained eye muscles a break. Doing some eye exercises would be great.