The OFCCP can make this request. There is nothing in the regulations that prohibits such a request. It is important to understand what the regulations require so that a contractor can draw a clear line between its obligations and what is simply a request. The regulations at Sec. 60-1.20 Compliance evaluations (ii) state that an on-site review is "conducted at the contractor's establishment" and "will involve an examination of the contractor's personnel and employment policies, inspection and copying of documents related to employment actions, and interviews with employees." A company can refuse this request. However, one must consider that such refusal could bring a full onsite visit by the agency. Since compliance officers are already there for one employee, they will often go ahead with additional inspection or interviews.
You can use this OFCCP audit checklist to ensure you're doing what is required to maintain OFCCP's regulations including VEVRAA, Section 503, and EO 11246. Or request a demo to streamline your compliance and recruiting efforts.