Youth Access to American Jobs Act of 2014 - Directs the Secretary of Education to award grants to 10 eligible entities (partnerships among a local educational agency (LEA), a community college, and a state apprentice program or a joint-labor management training program) to carry out a program for students to: (1) take science, technology, engineering, and mathematics (STEM) courses and other courses during grades 11 and 12 at a secondary school served by the LEA that prepare them for community college; (2) enroll in a course of study related to the manufacturing field at the community college upon graduating from the secondary school; and (3) enroll, for a two-year period, in the state apprenticeship program or the joint-labor management training program upon receiving an associate's degree from the community college.