In a word, “no.”
The government of the universe is not democratic, not aristocratic, not republican, not constitutional, but monarchial. To God belongs the undivided legislative, judicial, and executive power. His sovereignty is original, eternal, unlimited, abundant in blessing. He is the King of kings and the Lord of lords (1 Tim. 6:15; Rev. 19:6).
Herman Bavinck, Reformed Dogmatics II, p. 616.
Now that is not to say that the government of the U.S. is unbiblical. To the extent that the government punishes wickedness and fosters righteousness; to the extent that it protects its citizens; to the extent that it promotes justice, kindness, and humility; to the extent that it does not interfere with Scriptural obedience to God and his word; the government of America is biblical. But all of this applies to the government of China and England just as well.
God has only ever chartered one political nation- and it was a monarchy. God only has one people who will inherit the earth- and it will be a monarchy. God does not rule by popularity, consensus, or compromise. Psalm 2:6, “As for me, I have set my King on Zion, my holy hill.”