There are definitely some ways to make the whites of our eyes whiter. If you are a heavy smoker, you can give up smoking, and then the yellow on the whites of your eyes will disappears slowly for the yellow is tint by smokes. If you have some infection on your liver, you may suffer from yellow eyes too. But under such circumstances, you need to have your whole body checked in a hospital and then apply appropriate treatment.
There is a kind of eye drops that can relieve the redness in our eyes and whiten our eyes. But I heard that it can't solve the problem permanently, so I will not suggest you to have a try. You can have your eyes checked to see whether you have got some infections or any diseases in other part of your body for the yellow eye may be a sign of some disease.