I am in Chaoyang District.
There is a physical examination center in Hongmiao, so you can do it.
From memory: Jiuxianqiao Hospital, Shuangqiao Hospital, Dongba Hospital ...
You'd better call the CDC in your district to ask, because the center in Chaoyang District is temporarily unavailable. At that time, I only remembered a few lists posted there and went directly to the physical examination center of Hongmiao. If it is in other districts, it may be possible.