Yes, people can work with CMT, but it becomes hard as balance, foot pain, hand deformities and exhaustion take over. It depends on how severe a person’s CMT is. There are many different types diagnosed via genetic testing. I have CMT 2 but my genetics don’t show the subtype.
I’m not sure of percentage of people who work. I do not think that all types of work are easy for someone with CMT. A job where you are on your feet all day or where you lift heavy objects would not be a good field. Intelligence is not affected by CMT so jobs that require critical thinking would be good.