Feds can transfer money but can they force provinces to implement federal programs without their consent? I very much doubt that. I would think just like health care programs the provinces would want to control the programs.
There needs to be a lot of money pumped into provincial health care as it is. Our healthcare is a joke, it is under-funded and rationed to the point of inhumanity, at least in my neck of the woods.
Of course they can set standards and conditions for the transfers. Did you not read the article I linked?