Of course no, having contact lenses can not contribute to eye pressure. As we know that glaucoma can cause the eye pressure. But on the other hand, there are also many other reasons which can cause high eye pressure too. If you have not avoided eating some foods or drink, it may cause high eye pressure. Then, improper ratio of the production and drainage of aqueous humor is the main cause of eye pressure. So you should know that contacts have something to do with the eye pressure. If you have some problem with your eye pressure, maybe you should check it out and then have a good treatment.