Yes, generally speaking, when you have the green eye discharge in your eyes, it can be caused by the eye infection. As we know, no matter you are wearing your contact lenses at the time, it is easy for you to get eye discharge. As eye discharge can be caused by allergies, bacteria, makeup, chemicals or from your contact lenses not fitting correctly. But especially, if you are wearing the contact lenses, it will increase the risk which can lead to the eye discharge. When you have this problem, it might mean the eye infection or other problems with your lenses and it also may indicate that treatment is required. So in your situation, I suggest you should go and see an eye doctor as soon as possible.