Actually, most verses tell us that people are already tormented ...
and they brought unto him all sick people that were taken with divers diseases and torments, and those which were possessed with devils, and those which were lunatick, and those that had the palsy; and he healed them.
2 And when he was come out of the ship, immediately there met him out of the tombs a man with an unclean spirit,
3 Who had his dwelling among the tombs; and no man could bind him, no, not with chains:
4 Because that he had been often bound with fetters and chains, and the chains had been plucked asunder by him, and the fetters broken in pieces: neither could any man tame him.
5 And always, night and day, he was in the mountains, and in the tombs, crying, and cutting himself with stones.
We do not become tormented because we did not accept deliverance. People who need deliverance are already being tormented in their present state.
32 Then his lord, after that he had called him, said unto him, O thou wicked servant, I forgave thee all that debt, because thou desiredst me:
33 Shouldest not thou also have had compassion on thy fellowservant, even as I had pity on thee?
34 And his lord was wroth, and delivered him to the tormentors, till he should pay all that was due unto him.
We see in the verse above a story of someone who had his debt forgiven by his master who did not in turn forgive his own debtors. In the end, he was delivered to the tormentors. I'm not sure whether you meant this verse. When we are not willing to forgive others and dwell in bitterness, we subject ourselves to evil spirits who will torment us and take advantage of our situation. We have a choice, either to ask God for assistance to deliver us or to continue in our present state.
If a person does not want to be delivered, we just need to pray for the person, or counsel the person, or get the person to go for inner healing sessions with Christian counsellors. Sometimes, we may just allow the person to go through professional medical treatment. God also uses doctors and other people.