Bill becomes a law without President's signature? Yes

Some Filipinos think that there can be no law without the President's signature. They are wrong. In reality, the 1987 Constitution gives three ways by which a bill becomes a law: presidential signature, congressional veto override and presidential inaction.

Every bill passed by the Congress shall, before it becomes a law, be presented to the President. If he approves the same he shall sign it; otherwise, he shall veto it and return the same with his objections to the House where it originated, which shall enter the objections at large in its Journal and proceed to reconsider it. If, after such reconsideration, two-thirds of all the Members of such House shall agree to pass the bill, it shall be sent, together with the objections, to the other House by which it shall likewise be reconsidered, and if approved by two-thirds of all the Members of that House, it shall become a law. In all such cases, the votes of each House shall be determined by yeas or nays, and the names of the Members voting for or against shall be entered in its Journal. The President shall communicate his veto of any bill to the House where it originated within thirty days after the date of receipt thereof, otherwise, it shall become a law as if he had signed it. (Article VI, Section 7 of the 1987 Constitution)

Based on the foregoing, a bill may become a law even without presidential signature. Congress may override the President's veto and a bill becomes a law if the President does not act on it (sign or veto) within thirty (30) days.