Is there any requirements that an arc flash study must be performed by an engineer? If not is there any other qualifications required?

There is no national requirement relating to qualifications to perform studies.

Most states would probably include arc flash studies under their 'general engineering laws' (i.e. Professional Engineering licensing rules) due to the safety issue associated with the results.

There is no real requirement in any ofthe standards, BUT in any area that does require electrical engineering work to be performed by a Lic. Engineer, it is likely to be considered "engineering Work" and hence required to be performed either "under the supervision of" or directly by a PE.
[The situation can get a little sticky when one performs a study for a facility in State A, for a Client in State B, while physically being in state C. Technically one might have to be a PE in all 3 to be completly covered.]

The governing engineering laws are always those of the location in which the facility exists. My company regularly (i.e. daily) performs studies based on the scenario you described, the only seal affixed to the report is that of the facilities locale.