C.A.I. was leaving Fred Segal in L.A. yesterday ... when she told us a pretty cool fun fact -- she went to the same high school in Hawaii as President Barack Obama.
Buuuuut ... Inaba might not even be the #2 biggest celebrity grad from the Punahou School in Honolulu either -- 'cause that place has churned out LOADS of famous people ... including:
-- Manti Te'o ('09) ... Notre Dame football star, 2012 Heisman Trophy finalist
-- Kelly Preston -- actress, married to John Travolta
-- Hiram Bingham III ... former U.S. Senator (Conn.)
-- Kaui Hart Hemmings ... wrote the book "The Descendants"
-- Ellery Chun ... invented the Aloha Shirt.
-- Charles L. Veach ... former astronaut
... and TWO former Miss USA winners.
Still, Carrie Ann says she didn't ever meet the Prez ... 'cause he graduated 7 years before she did.