Thanks for the question.
In the absence of dedicated provisions that provide an avenue for judicial review and remedy, that's a decent option, and it would signal to the courts that there is an overarching duty to meet the targets. There are a couple caveats, though.
One is that it is difficult for the federal government to include such a blanket provision, because it implicates the provinces. It's quite clear that the federal government cannot completely go it alone, so some qualifying language in such a provision that says something like “subject to constitutional constraints” or “take all federal measures necessary” may be helpful.
The last point is that in terms of justiciability, the courts will read the statute in its entirety. A provision like that, even if it's far away from the rest of the other relevant provisions, will signal to the courts an intention of the legislature to have judicial oversight.