Well, in my opinion, eye color can not change with seasons. The color of your eyes can change with the emotion and weather. If your emotion is low, it can turn to light grey and light blue. Even some drug which will have side effect that it can change the color of your eyes. Also, the weather can be an essential factor. For example when it is really sunny outside and the sunlight hits your eyes, it can cause your eye color to become brighter. By the way, you should know that stress is not a factor which can change the color of the eyes completely. But on the other hand, stress can affect how dark or light the eyes become in color. You should know that when you suffer stress, the density and distribution of the melanin on the eyes will change. So just make you not too stressed.
No, it is not possible to change the color of the eyes with the changing of seasons. When you have such problems, there must be some problems in your body. You need to go to the hospital and have a full check on the eyes. The sooner you accept the treatment, the better your eyes are.