Answer:
Yes, the constitutional provision that Hague v Committee for Industrial Organization and Roe v Wade have in common is selective incorporation.
Selective incorporation is the process by which the Supreme Court has applied certain provisions of the Bill of Rights to the states through the Due Process Clause of the Fourteenth Amendment. It ensures that fundamental rights protected by the Constitution are applicable to the states, not just the federal government.
In Hague v Committee for Industrial Organization (1939), the Supreme Court held that the First Amendment's right to freedom of speech and assembly applied to state and local governments. The case involved the denial of permits for labor union meetings in public spaces by the mayor of Jersey City, New Jersey. The Court ruled that the mayor's actions violated the First Amendment rights of the labor union members.
In Roe v Wade (1973), the Supreme Court held that a woman's right to have an abortion fell within the right to privacy protected by the Due Process Clause of the Fourteenth Amendment. The case involved a Texas law that criminalized abortion except to save the life of the mother. The Court ruled that this law was unconstitutional as it violated a woman's right to privacy.
Both cases demonstrate the application of specific provisions of the Bill of Rights (First Amendment in Hague