In New Testament times, only those people who declared Jesus as Lord came under His authority. However, since then the promised kingdom of God has come and everyone is subject to it.
This is why it’s not quite right for someone today to say, “I have made Jesus Christ my Lord and Savior.” It’s more accurate to say, “I have accepted Jesus Christ as my Lord and Savior,” or “I have acknowledged Jesus Christ as my Lord and Savior.”
If you’re a human being, He already is your Lord and Savior.
For more, see any of these posts: