It is a skin so it could be stretched (increase depth)
Body can be modified by pressure, look at stretching ears, lips or skin for some transplantation (to other part of body), even bones can be stretched
So i think it could be done but it will be very uncomfortable
Good example is braces it moves by pressure teeth(bones) and it could be very painful, I think here could be also used some "device" which apply some pressure all time, but is question if is possible to live with this pain all time, it will be torture