Is it possible to separate faith from repentance?

Rob Ventura explains in this video that a sinner cannot be saved without them first believing on Christ and repenting from sin. That sinner will go to Christ by faith by turning his back on sin and repenting for them. They are always connected.  

There are many instances in Scripture of men preaching a message of both repentance and faith. It is not possible to separate the two. Without repentance toward God and faith in Christ, there is no salvation.

Acts 20:20-21 (NKJV) – “I kept back nothing that was helpful, but proclaimed it to you, and taught you publicly and from house to house, testifying to Jews, and also to Greeks, repentance toward God and faith toward our Lord Jesus Christ.” 

You can't have a sinner truly believing on the Lord Jesus Christ unless he's repenting. Jesus is the savior of sinners. So when a sinner, by God's grace, sees his undone-ness before God, sees his hell-deserving-ness before God, that sinner is going to Christ by faith while all the while turning his back on his sins so again those two are ultimately always connected You can't do one without the other. We repent towards God. And that's exactly what Paul said in Acts chapter 20 that he preached house to house repentance towards God.

God is the offended party as far as the object of repentance. God, we've sinned against God our creator our Redeemer. We've sinned against his holy law. So Paul says he preached repentance towards God, the offended party, and faith toward our Lord Jesus Christ, the only Savior of sinners. John the Baptist preached, repent, for the kingdom of God is at hand.

Paul preached repentance. Acts 2, of course, Peter in the day of Pentecost, repent. They were pricked to the heart. What shall we do to be saved? Repent and believe the gospel.

So without repentance there's no salvation.