It does seem that some colleges do offer majors along those lines, like [Bachelor of Science in Preprofessional Studies](http://science.nd.edu/undergraduate/sample-curricula/preprofessional-studies-sample-curriculum/).
However, would such a major be seen as questionable by medical school admissions people, in that the applicant seems to have no other interests besides pre-med? And if the applicant does not get into medical school, would graduating with such a degree tell prospective employers that the graduate was a failed pre-med?