Since the machine was basically designed for cutting, it would certainly be possible. However, one would have to work intentionally and with a lot of pressure towards it. I find the device much more handy and gentle than many others with the same purpose. I have never cut myself!
I have been using such products for years and have never injured myself. Of course, it is possible to injure yourself with this device, as with any device that has a blade - knife, scissors, razor etc.