Generally, a priest is in charge of a parish unless he has a different assignment.
A pastor is the priest who is in charge of a parish. He supervises the functioning and finances of the parish, as well as the maintenance of the parish church and rectory.
If he or she is sick,then the parish would call a priest to anoint him and pray for him for his healing.
The Greek word "ephimerios" is a priest in charge of a parish, and is sometimes called a Rector or Vicar in English. For example, in a parish where there are two priests, the Ephimerios would be the senior priest.
If you mean by the parishioners of a parish, no. The bishop of the diocese decides what a priest does and where.
Parish priests are appointed by a bishop and supported by the local parish of the priest.
"Parish priest" is a job.
Father Gerards Chromy is he current parish priest and Canon Kieran O'Farrell is also in the parish as a retired priest.
The Parish Priest
A parish priest is the main priest in a parish. He is responsible for running the parish, so he may have to deal with more practical things, like doing the accounts for the parish. He will also have his normal duties as a priest. Other priests in the parish may help him and they are called curates.
A parish priest, assigned as pastor by the Bishop, supervises a parish.
The tenure is generally decided by the bishop of the archdiocese. It is observed that a parish priest remains in a particular parish between 4 - 6 years.