Of course you can wear them when you have the hair cut. As we know that the contact lenses are very soft and they also can make you feel comfortable when you wear them, so there are many people who wear them to go outside, even when they play sports. So you should not worry about it. But on the other hand, you should also pay attention to the infection which can happen when you have hair wash, for the shampoo can be spilled into your eyes. In that case, the chemicals which are in shampoo can do harm to your eyes. So just be careful. If you are still worried about the shampoo, maybe you can take off your contact lenses.