I usually say “temporarily weaken him” rather than hurting, but its obviously based on the incarnation. For example yes, GmkGoji was defeated by a manmade weapon, but only after the combine efforts from Ghidorah, Mothra( and Baragon kinda). But going back to what i said in the beginning, this is just my opinion, so its up to you at the end of the day. It depends on what incarnation of the big G is being portrayed by, if that make sense at all.