The short answer would be No. The fact that exists spells like Divination that lets you ask a single question or Communion that lets you ask 3 to a god, both being higher level than Sending and both with the possibility of getting a cryptic answer, makes that possibility at least unbalanced. With that said, there’s always the possibility, mostly for higher-level campaigns, to have encounter god’s avatars, and in that case this spell would certainly work like with any other creature.