No, that's not a Biblical assertion. Here, let me show you God's reasoning about this:

When Jesus and His disciples were ministering across the countryside, there were men of the religious establishment who were not yet followers of Jesus, but knew His name had power over the demonic and to bring healing and miracle-working power forth in their ministry.

Because of this, they would use Jesus' name as they ministered, even though they did not truly follow Him yet.

When the disciples saw someone doing this, they told him to stop. They then told Jesus about what happened.

Jesus told them not to stop them because "no one can do a good work" in His name, without eventually becoming a follower of His.

Mark 9
38 John said to him, “Teacher, we saw someone casting out demons in your name, and we tried to stop him, because he was not following us.” 39 But Jesus said, “Do not stop him, for no one who does a mighty work in my name will be able soon afterward to speak evil of me. 40 For the one who is not against us is for us.