Can I cast Magic Initiate spells from another class using the Pact Magic feature?

If I have a Warlock who takes magic initiate in cleric and chooses cure wounds as the first level spell, could I use my Warlock spell slots to cast that spell as well as the 1/day casting of cure wounds?

I know that Pact Magic can be used to cast spells using the Spellcasting class feature (PHB 164), so shouldn’t you be able to use your Warlock slots to cast the magic initiate spell?