You cannot do this in other religions, simply because they don’t believe TRULY in Jesus as Messiah and Son of God.
There are cases of ‘other people’ trying to deal with demons in Bible. None of them went well. Here’s an example from Acts 19:13-17
Then certain of the vagabond Jews, exorcists, took upon them to call over them which had evil spirits the name of the Lord Jesus, saying, We adjure you by Jesus whom Paul preacheth.
And there were seven sons of one Sceva, a Jew, and chief of the priests, which did so.
And the evil spirit answered and said, Jesus I know, and Paul I know; but who are ye?
And the man in whom the evil spirit was leaped on them, and overcame them, and prevailed against them, so that they fled out of that house naked and wounded.
And this was known to all the Jews and Greeks also dwelling at Ephesus; and fear fell on them all, and the name of the Lord Jesus was magnified.
Ergo, don’t try it at home.
The Catechism of the Catholic Church states: "When the Church asks publicly and authoritatively in the name of Jesus Christ that a person or object be protected against the power of the Evil One and withdrawn from his dominion, it is called exorcism."
Sorry but only Exorcist performing Rite of Exorcism can do this.
Exorcist appointed by Vatican.
The Introduction to Exorcisms and Related Supplications further directs that the priest “has been specifically prepared for this office”