Gonzo:
Child care program, or day care, along with most other childhood services - like health, social services, elementary, secondary, and post-secondary education - are under provincial jurisdiction.
It is very unlikely, not to say impossible, that any province will relinquish their turf to allow more intrusion in provincial responsibilities by Ottawa.
Quebec has its own child care program in place since 1997 and Ottawa has nothing to do with it (except for telling other provinces to copy our system.)
The Federal Govern. had very little power given by the 1867 Constitution: regulation of trade and commerce , the post office,
the census ,national defense ,employment insurance, money and banking, copyrights , criminal law , citizenship, foreign policy . That's it, nothing more.
Everything else Otawa tries to regulate outside these 10 jurisdictions have been usurped from provincial governments.