The short answer is yes. The new birth (regeneration) precedes saving (justifying) faith. When John says, “has been born of God [him]” it always refers to something done in the past with ongoing effects [called the “perfect tense/aspect” in Greek]. So in the following texts in 1 John, you see the effects of the new birth (regeneration) as belief (justifying and sanctifying faith), doing right, inability to sin (which raises a host of questions not to be addressed here), and love.
1 John 5:1 – Everyone who believes that Jesus is the Messiah has been born of God, and everyone who loves the parent also loves his child.
1 John 2.29 – If you know that He is righteous, you know this as well: everyone who does what is right has been born of Him.
1 John 3.9 – Everyone who has been born of God does not sin, because His seed remains in him; he is not able to sin, because he has been born of God.
1 John 4.7 – Dear friends, let us love one another, because love is from God, and everyone who loves has been born of God and knows God.
This short article by Tom Schreiner helpfully answers the question.