No, driving license and student ID card are not acceptable as a proof of identity in CELPIP evaluation test. Below is the list of acceptable documents:

Acceptable identification for the CELPIP-General Test:
– Travel document*
– Refugee protection claimant document*
– United States Passport Card
– Passport booklet

Acceptable identification for the CELPIP-General LS Test:
– Travel document*
– Canadian permanent resident card
– United States Passport Card
– Passport booklet

If you are taking CELPIP Test for the Non-IRCC (Immigration, Refugees and Citizenship Canada) purposes, below identifications are acceptable:
– Travel document*
– Refugee protection claimant document*
– Canadian Provincial Driver’s licence
– United States Passport Card
– Passport booklet
– Canadian permanent resident card
– Canadian Provincial identification card