Lol, no. Foreign born employment rose ie increased by 1.27M jobs, which represents 47% of the increase in employment over whatever period that BLS data was from.
Foreign-born workers represent roughly 17% of the labor force of which about 48% are hispanic.
Foreign born represented 16.5 percent of the U.S. labor force in 2014, up from 14.8 percent in 2005 : The Economics Daily : U.S. Bureau of Labor Statistics
Labor Force Characteristics of Foreign-born Workers Summary - 2022 A01 Results
Meanwhile, there are still over 5M open jobs in the U.S. right this second.
http://www.bls.gov/news.release/pdf/jolts.pdf
http://www.bls.gov/emp/ep_table_301.htm