Even if I could, it's not like a keyboard is going to chop off my fingers if I don't focus on it.
It's not like that wheel could chop off his fingers too... he was barely sharpening his axe. I don't see any reason why he has to focus on it so much...
Don't know about you... but I can blind-type, and I'm sure you (for a man that has occupied with smithing most of his life - referring to the NPC) that he's not looking at that sharpening wheel. It's unnecessary, it's not difficult, it's not dangerous, he's experienced, he's bored, and it will not chop of his fingers...