No. The samples are sent entirely to the RCMP, so the bodily substance would be entirely within the control of the RCMP. The legislation requires that the entire sample be sent to the commissioner, and it would therefore be destroyed. So all they would have is a record of an order that they've executed, but that would also be following the criminal record information they may have. All they would keep is, potentially, the order directing them to collect the sample, and there would be no DNA information attached to that except the fact that an order had been issued. But it's not required for destruction.
The legislation really authorizes the commissioner to destroy, not direct other bodies to deal with the records. Why they would keep these records would be subject to their own record-keeping requirements.