Stitches aren't the only ways doctors can close cuts and incisions. Cuts sometimes can be held together with butterfly tape or adhesive strips, which you may be able to do yourself at home for more minor cuts. There are even special staples or tissue glue, but those tend to work best with clean, straight incisions, such as in surgical procedures.
There are different criteria and care instructions for each type of closure. Your doctor can help you decide which is best for you and tell you how to take care of your injury as it heals.