No. Unfortunately, the National Joint Council for the Engineering Construction Industry (NJCECI) is not, and has never been, a training body or keeper of training records. Employer based apprenticeships indentures would only have been kept by the issuing employer and the apprentice concerned. For CSCS purposes, if the apprenticeship in question was an approved apprenticeship then you should contact the appropriate lead body given on the CSCS website – National Joint Council for the Building Industry (NJCBI) or Building and Allied Trades Joint Industrial Council (BATJIC).
If the apprenticeship was under the Engineering Construction Industry Training Board (ECITB) approved apprenticeship framework, the papers may be available from the ECITB but only going back to 1991. There is a possibility that the ECITB may also hold records of EITB vocational qualification records prior to 1991 (Contact Linda Wilson or Matthew Day on 01923 260000). Failing the above, the CITB or SEMTA may be able to help you further.