You had better not do that taking your eyes into consideration. We all know that a punch of thumb can hit you in the eye while boxing. If you do that, you will find that your contacts are easily to fall off, and then I think you will be embarrassed when you cannot see anything during the box. Of course, what I said does not mean that you can box if you are near sighted. As a friend, you can ask for help from your eye doctor who will help you to see clearly during the fighting and make you have a nice time. At the same time, you can make it by yourself, namely, you can have a try with some comfortable durable plastic frames or even prescription goggles with Croakies to keep them from falling off. Because of the two factors mentioned above, I do not think you will enjoy your fight while wearing your contacts lenses.