The purpose of every military in the world is hurting people. It's, like, the whole point of their existence, either hurting people right now or preparing to hurt people in the future.
I don’t have issues with the hurting part, it’s a very strange thing to pick on. Are you contributing to the invader, imperialist side or are you contributing to defending, resisting oppression? It’s obviously different moral calculus.
Which is why context and reasons for specific actions matter.
Shoving my child is sometimes/generally immoral. Shoving my child to get them away from an oncoming bus is moral, and on a swing often encouraged.
More on topic: Hurting others can absolutely be moral for the greater good/if it saves more people. What that is is less clear, and the reasoning can be (and frequently is) abused through lying, but I think it's fairly clear cut in the Russia/Ukraine case referenced.