Lisa Halaby attended National Cathedral School from fourth to eighth grade. She briefly attended The Chapin School in New York City, then went on to graduate from Concord Academy in Massachusetts. She entered Princeton University with its first coeducational freshman class, and received a BA in architecture and urban planning in 1973.[6] At Princeton she was also a member of the school’s first women’s ice hockey team.[7]
https://en.wikipedia.org/wiki/Queen_Noor_of_Jordan
So the answer is YES. Using the Cruz NBC standard, all the Prince has to do is complete the 14 year residency requirement.
If the voters of the U.S. were stupid enough to elect the Prince, then they deserve what they get. After two terms of Obama, nothing would surprise me.