Absolutely.
First, we have to understand that in the federal and New Brunswick official languages laws, as well as in the language legislation of other Canadian provinces and territories, for instance the Northwest Territories or Nunavut, there are certain mechanisms that enable the respective language commissioners to exert more pressure as cases progress and move forward.
The work of the Commissioner of Official Languages of Canada culminates in the tabling of a report to Parliament, drawing the attention of the public and issuing public comments on the recalcitrance of the federal institution concerned. At the end of the day, that does not carry much weight. Very often it can work, but it's still soft power, and the results can be less than convincing.
This is where an administrative tribunal, which would have the power to issue interim orders and orders following a proper and full process, could order the issuance of those reports as well as a remedy. It could even impose administrative or monetary penalties.