The Bible tells us that Christians are engaged in spiritual warfare against satanic forces. Ephesians 6:10–12 says:
Finally, be strong in the Lord and in his mighty power. Put on the full armour of God so that you can take your stand against the devil’s schemes. For our struggle is not against flesh and blood, but against the rulers, against the authorities, against the powers of this dark world and against the spiritual forces of evil in the heavenly realms.
Jesus said “No one can enter a strong man’s house without first tying him up. Then he can plunder the strong man’s house” (Mark 3:27). In this parable, Jesus refers to Satan as the “strong man” and to Himself as the One who enters the house and plunders the place.
Some Christians, usually in the Charismatic or Pentecostal movements, apply Jesus’ parable to the spiritual warfare that believers must wage. They teach that Christians are the ones who must “bind the strong man” in their lives or in their cities and then win the victory in Jesus’ name. Never does Jesus instruct us to “bind the strong man” or tell us how to do it. Jesus alone is stronger than “the strong man” who is Satan. He is the only One who can bind the strong man and rescue us from his clutches. No human can bind Satan.
You ask, "Can a Christian 'bind Satan' in the Name of Jesus in a prayer that is recorded in the video lesson that can be played to different audiences at different times and all over the world?" Or, must the Christian be present at the time that the teaching is taking place, in order to be able to 'bind Satan' in this situation in the Name of Jesus?
I have no idea what you mean by that. All I would say is that the name of Jesus is not a magic incantation that causes demons to flee from before us. The seven sons of Sceva are an example of what can happen when people presume an authority they have not been given (Acts 19:13–16). Even Michael the archangel did not rebuke Satan in his own power but said, “The Lord rebuke you!” (Jude 1:9).
We rely on God’s power, not our own. We put on the whole armour of God. We draw on the power of Scripture—the Word of God is the Spirit’s sword. We pray in perseverance and holiness, making our appeal to God. We stand firm (Ephesians 6:13–14); we submit to God; we resist the devil’s work (James 4:7).
If there is any binding to be done, leave it up to God.