Drill smoke pipe connection afterwards

I would like to additionally heat my living room in the future with a wood stove. So far, there is no flue pipe connection in the chimney. Is it even possible to drill such a connection afterward, and if so, which "craftsman" carries out such work?

A chimney builder carries out such work, it is no problem to create a subsequent smoke pipe connection. There are also masons or sanitary installers who can do that. Ask the responsible [Schornsteinfegermeister], he will be able to name suitable craftsmen for you, I think.