It may well be possible to bring a claim for
both workers' compensation and personal injury. The Workers' Compensation carrier may well have a claim for reimbursement for certain expenditures from any amount recovered in the personal injury case, although a plaintiff's lawyer can usually negotiate a reasonable settlement of any workers' compensation liens.
It sounds like in your case the person who caused your injury worked for an entirely separate employer, and thus the "exclusive remedy" provision of the workers' compenstion law would not prevent you from filing a negligence suit. This type of situation is best evaluated by a personal injury lawyer who either also handles workers' comp, who is familiar with the workers' comp laws, or who is with a firm that also handles workers' comp.