Yes, it could cause that. As we all known, kidneys rid the body of waste, filter out nasty toxins and keep the blood clean. Kidney disease could be caused by diabetes, high blood pressure, infections or others. Puffy eye is a sign of kidney disease, such as nephrotic syndrome. In order to relieve the puffy eyes, you can try some home remedies. Firstly, you can chill some cucumber or potato slices in the freezer, and place them over your eyes for 15 minutes to reduce the redness and swelling. Or you can reduce inflammation in your body to reduce the puffiness both around your eyes and all over your body in general. However, these two remedies only can relieve the swollen eyes but not treat your kidney problems. I highly recommended you to do health check to solve your swollen eyes essentially.