ᐅ Drilling a Connection for the Stove Pipe Afterwards

I would like to heat my living room in the future with a wood stove. So far, there is no flue pipe connection in the chimney. Is it possible to install such a connection afterward, and if so, what kind of specialist carries out this type of work?

A chimney builder usually carries out this type of work, so installing a flue connection afterwards is not a problem. There are also bricklayers or plumbers who can do it.
You might ask the responsible chimney sweep; I think they will be able to recommend suitable craftsmen.