I happened to wonder this one day while I was taking a walk for Pokemon GO, and since Kyogre is my favorite legendary between Groudon, Rayquaza, and Kyogre, I wanted to try and find a shortcut to get Kyogre in Pokemon GO.
No. While Pokémon from Go can be sent to Home, this link is one-way only. It is impossible to send Pokémon from outside the app into Pokémon Go.
