Well, yes, in my opinion, warm water can be good for pink eyes. First, you need know that pink eye is caused by the bacteria, irritants, even allergies. For the symptoms, red, bloodshot eyes can be possible. For the treatments, warm water with soft cloth can be a good option. So you can just have a try. Also, you can just apply erythromycin which can be good for your pink eyes. Besides, you need to use the drops as directed you need to make sure the bottles tip is not touching your eye to not be infected. Anyway, be careful about it.