An exorcism or other cleansing ritual could be performed on you or your home but without faith in God, more than likely, the spirit would return and may even have the right to do so. An individual s religion is not the issue but a strong belief in God is. Some hauntings cease as suddenly and inexplicably as they had started. Poltergeist infestation , and the activity and phenomena they produce, is an example of this type of activity that can begin and stop totally unexpectedly. However, in the majority of cases, the activity will not stop permanently.
Exorcism is the preferred and necessary remedy.
It would depend on what is causing the phenomena and thus the haunting. If there is a human spirit present then the recommendation would be yes. Generally, a human spirit will leave immediately when commanded to do so in the name of God. A human spirit does not want a fight with God. However, if an inhuman spirit is present then, although the blessing may cause the spirit to depart temporarily, it may well return with a vengeance and with some of its cohorts.