Short answer. No, that runs directly against the law's stated policy. Article 3 declares that the State shall ensure equal work opportunities regardless of sex, race, or creed. Denying a qualified applicant a job on those grounds conflicts with this basic policy the Labor Code exists to carry out.
What the law says
The State shall afford protection to labor, promote full employment, ensure equal work opportunities regardless of sex, race or creed and regulate the relations between workers and employers.
Labor Code, Article 3 — Basic Policy Of The State. Read the full provision →
Equal work opportunity is a stated basic policy
Article 3 opens the Labor Code by declaring the State's basic policy toward labor, and equal opportunity is written into it directly: the State shall afford protection to labor, promote full employment, ensure equal work opportunities regardless of sex, race or creed and regulate the relations between workers and employers. Denying a job to someone who is otherwise qualified, specifically because of their sex, race, or creed, is the opposite of what this stated policy commits the State to ensuring.
What this article is, and what it is not
It matters to understand what kind of provision this is. Article 3 is a declaration of policy, the statement of purpose that frames how the rest of the Labor Code is meant to operate, rather than a single stand-alone provision spelling out penalties for a specific discriminatory act. That does not make it toothless; it establishes the baseline the Code is built around, and other, more specific provisions and laws exist to give this policy operative teeth in particular situations, such as hiring, wages, and working conditions.
The other commitments named alongside equal opportunity
Article 3 does not isolate equal work opportunity from the Labor Code's other goals. It sits alongside affording protection to labor, promoting full employment, and regulating the relations between workers and employers, and the article continues by committing the State to assure workers' rights to self-organization, collective bargaining, security of tenure, and just and humane conditions of work. Equal opportunity regardless of sex, race, or creed is part of this same broader commitment to how the employment relationship should function.
What this means if you were denied a job on these grounds
If you believe you were turned down for a position specifically because of your sex, race, or creed despite being qualified, Article 3 establishes that this outcome runs against the very policy the Labor Code is meant to serve. This article states the governing principle rather than a self-contained remedy, so pursuing a specific claim would involve looking at whatever more particular provisions or laws apply to the exact circumstances of the hiring decision, with Article 3 as the policy backdrop against which that conduct is judged.