Yes. From Wikipedia:
The set of Sacred Heart was formerly based in the former North Hollywood Medical Center (34°9′28.86″N 118°24′31.22″W / 34.1580167°N 118.4086722°W /...
No it is not a real hospital, but there is a hospital called "Princeton Hospital" in Princeton. The building used for "Princeton Plainsboro Hospita"l for the show "House" is a building on the...
There is a Parkland Memorial Hospital in Dallas, Texas. At least there was in 1963. This is the hospital John F. Kennedy was taken to after he was shot on November 3rd of that year.