This comes under the concept of the legal system of checks and balances. But this relates to whether IRCC is conducting its functions properly according to the guidelines set for it. So it relates to aspects such as are they processing an application as governed by the rules and regulations which stem from legislation? If not, then they have a mandate to intervene.
However, that does not include processing times. 6 months is an objective not an absolute right.
There's nothing in the legislation which says they have to process your application within a given time limit. On a case to case basis, you can probably argue that your processing time is unreasonable, but then you have to demonstrate that your application is singularly an exception, and not part of a larger issue like a backlog which is affecting everyone.
