Yes it could but I would advise you not to do it. First of all it would be expensive, second of all it would take away value from the razor as is. My suggestion is to put it away. I too have a skinny neck with nooks and crannies, hollow spots and what have you. In 3 to 6 months you will be able to navigate you physiognomy with that razor just as easily as with a round point. BTW, round points are more common than the other grinds but they are not as attractive to buyers in the used market.