Dead Presidents

Most definitely.  There were many Presidents who attended non-Ivy League universities:

•Thomas Jefferson:  College of William and Mary, Williamsburg, Virginia
•James Monroe:  College of William and Mary, Williamsburg, Virginia
•William Henry Harrison:  Hampden-Sydney College, Hampden-Sydney, Virginia (Attended 1787-1790 but did not graduate)
•John Tyler:  College of William and Mary, Williamsburg, Virginia
•James K. Polk:  University of North Carolina, Chapel Hill, North Carolina
•Franklin Pierce:  Bowdoin College, Brunswick, Maine
•James Buchanan:  Dickinson College, Carlisle, Pennsylvania
•Ulysses S. Grant:  United States Military Academy, West Point, New York
•Rutherford B. Hayes:  Kenyon College, Gambier, Ohio
•James Garfield:  Williams College, Williamstown, Massachusetts
•Chester A. Arthur:  Union College, Schenectady, New York
•Benjamin Harrison:  Miami University, Oxford, Ohio
•William McKinley:  Allegheny College, Meadville, Pennsylvania
•William Howard Taft:  University of Cincinnati Law School, Cincinnati, Ohio (Also earned a degree from the Ivy League’s Yale)
•Woodrow Wilson:  Earned Ph.D from Johns Hopkins University, Baltimore, Maryland (Also earned a degree from the Ivy League’s Princeton)
•Warren G. Harding:  Ohio Central College, Iberia, Ohio
•Calvin Coolidge:  Amherst College, Amherst, Massachusetts
•Herbert Hoover:  Stanford University, Palo Alto, California
•Dwight D. Eisenhower:  United States Military Academy, West Point, New York
•Lyndon B. Johnson:  Southwest Texas State Teachers College, San Marcos, Texas
•Richard Nixon:  Whittier College, Whittier, California; Duke University Law School, Durham, North Carolina
•Gerald Ford:  University of Michigan, Ann Arbor, Michigan (Also earned a degree from the Ivy League’s Yale University Law School)
•Jimmy Carter:  United States Naval Academy, Annapolis, Maryland
•Ronald Reagan:  Eureka College, Eureka, Illinois
•Bill Clinton:  Georgetown University, Washington, D.C. (Also spent two years at Oxford University in England and earned a law degree from the Ivy League’s Yale University Law School)
•Barack Obama:  Spent two years at Occidental College, Los Angeles, California before transferring and earning degrees from the Ivy league’s Columbia University and Harvard Law School
•Jefferson Davis:  Transylvania University, Lexington, Kentucky before transferring and graduating from the United States Military Academy, West Point, New York