"Ted Cruz was born on December 22, 1970,[3][4] in Calgary, Alberta, Canada, to parents Eleanor Elizabeth (Darragh) Wilson and Rafael Bienvenido Cruz.[5][6][7] At the time of his birth, Cruz' parents were working in the oil business as owners of a seismic-data processing firm for oil drilling.[6][8][9][10][11] Cruz has said, “I’m the son of two mathematicians/computer programmers.â€[12] The family moved to Texas in 1974.[13]So what do we have here? One of Cruz's parents is an American citizen. The other a Canadian asylum seeker. President Obama, the current president, has only one natural born citizen parent. The only difference I can see is that Cruz was born in Canada and lived there until he was four because his parents were in business there. He's always had American citizenship. Obama, on the other hand, was, as the official story goes, born in Hawaii and lived from about 6 to 11 in Indonesia. Are Americans who happened to be born to parents who were abroad for business or any other purpose therefore disqualified from being natural-born citizens and Presidential candidates? The Constitution is vague on this, and perhaps it's to let the public debate be the final judge. Think about the difference between someone like Cruz, having citizenship from birth and just living in Canada until 4, and then being raised to adulthood in the U.S. Then think about someone born in America but who has one foreign-born parent and might live mostly abroad from age two until they return to the U.S. permanently at age 25? There are endless scenarios.Rafael Cruz was born in Cuba, and his father was from the Canary Islands in Spain. Ted Cruz's mother was born in Wilmington, Delaware, and is of three quarters Irish and one quarter Italian ancestry.[14][15] His father left Cuba in 1957 to attend the University of Texas at Austin, obtained political asylum in the United States after his four-year student visa expired, and became a Canadian citizen during his eight-year stay in that country.[16] Rafael Cruz ultimately became a naturalized U.S. citizen in 2005.[6][17][18][19] His mother earned an undergraduate degree in mathematics from Rice University in the 1950s.[20] Eleanor and Rafael Cruz divorced in 1997.[21]
Cruz had two older half-sisters from his father's previous marriage, Miriam Ceferina Cruz and Roxana Lourdes Cruz. Miriam, who had several brushes with the law during the 1990s and 2000s including charges of theft and public intoxication, died of a prescription drug overdose on January 10, 2011.[21] Roxana, who has declined media interviews, is a physician in Texas.[21][22][23] Cruz also had a half-brother, Michael Wilson (1960–1965), from his mother's previous marriage. He first learned of him from his mother during his teenage years.[23]"
Not unless he filed the proper papers with either the Consulate or the proper government agency in the US.