Working On Rewarding and Keeping Employees Resilient Act or the WORKER Act This bill addresses workforce development by advancing science, technology, engineering, and mathematics (STEM) education, revising and implementing certain worker training, retention, and advancement programs. The bill requires (1) the Department of Education (ED) to award grants to eligible entities to implement certain formal and informal engineering education programs in elementary and secondary schools, and (2) the use of certain career and technical education program funds for supporting a hands-on learning approach. The bill establishes in the Department of Labor an Office of Apprenticeship, including a National Advisory Committee on Apprenticeships, to promote apprenticeship programs. Labor and ED must establish a voluntary Registered Apprenticeship-College Collaborative consisting of the sponsors carrying out registered apprenticeship programs, two- or four-year post secondary educational institutions, and organizations that represent such programs or institutions.