When you file a UI claim, most states ask if you are able to work and available to work. If you aren't able to work and available to work then your UI claim is forestalled until you are able to work and available to work.
If the injury was due to working conditions you might be eligible for workman's compensation, but this is not the same as unemployment.
If the injury occurred while on the job, you probably are eligible for Workers Comp. Please read more about this scheme in your state to avail benefits.