No. Prestige is defined as:
*reputation or influence arising from success, achievement, rank, or other favorable attributes
*distinction or reputation attaching to a person or thing and thus possessing a cachet for others or for the public
College Admissions professionals and pretty much everyone in the world knows which colleges have the label of "prestigious". What many may not know is why these colleges are adorned with this label. And while the answer is complex and certainly controversial, I would argue that the United States' most "prestigious" colleges were all founded, largely funded by and for the advancement of white men. Thus, the rest of the population was and still largely is not represented nor the beneficiaries of these "prestigious" colleges. Therefore, I don't see any value in ranking these same colleges, over and over again, by prestige.