Yeah, but along the way you'd lose an ephemeral something. You'd stop having a single place in space frozen in time, and start having a collection of artifacts in a museum. Artifacts from the first World War are not so scarce as a room unchanged for a century.
In Oslo there's a museum called Norsk Folkemuseum [1] (Norwegian Museum of Cultural History) that includes 160 buildings that were dismantled and moved - some of them from other parts of the country.
Ranging from a stave church built ca. 1212 [2] that was moved to the present location in the 1880's, to a collection of five buildings built in the 1800's in an old part of Oslo that were moved to the museum when that part of Oslo was re-developed in the 1960's.
I visited the Getty Museum this summer and found the displayed rooms of European apartments quite great and interesting, as I was fascinated by the Napoleon III ones at the Louvre.