다가 다치다

get hurt while doing something

-다가 marks an activity broken off partway, and 다치다 is getting injured — so the injury happens in the middle of whatever was going on: 상이가 촬영하다가 다쳤어요, 실제로 팔씨름하다가 다치신 분들이 진짜 많아요, 콘서트 하다가 다쳤는데. Filming and rehearsing account for several lines here ([연극 연습 중 부상으로] 연극 준비하다가 다쳐가지고). 다치다 is being injured by something; 아프다 is being in pain or unwell.

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