In many clinical cases, there are indeed many people who got blurry vision from neck pain. This is because that the neck pain is usually caused by the change of joint structure that will oppress the blood vessels in the brain and lead to the insufficient supply of blood, which definitely can make some influence on the eye nerves, thus causing blurry vision as well as other eye problems. In your case, according to your description, your neck pain may be caused by playing vedio games for too long a time without good rest or moderate exercises of your neck muscles and so on. Then the eyes are accordingly affected. Therefore, you had better decrease your time spent in playing vedio games, and every other hour you should do some exercises to ease and relax your muscles in the neck, back, and the eyes such as by massaging, so that the blood pressure in your neck will reduce and the blood supply in your brain and eyes will return to a normal level, and that the vision recovers gradually.
Yes, it is possible for you to get blurry vision from neck pain because of the interlinked nerves at the neck and the eyes. Your long time playing video games will make you have the blurry vision because of the damages of the eyes nerves. You should better use some eye drops to moisture the eyes. At the same time, you should also use the warm compress to make your eyes get comfortable.