Yes, if you are physically capable of doing light duty work despite your injury. As part of the workers' comp process, a doctor will determine whether you are capable of doing "light duty work." But if you refuse to do this work, then the employer has legal grounds to terminate you. Certainly, light duty jobs may feel like a demotion. But as long as it is temporary, employers are allowed to assign you light duty jobs that are "beneath you." But if you are permanently injured, the light duty work cannot be demeaning to you.