Not in the manner that the popular TV shows depict. There are priests who are selected as exorcists, because of their holiness, and experience with dealing with demons. These priests must have the permission of the local bishop to preform any exorcisms, and prior to permitting them the bishop requires that Medical and Psychiatric examinations are made in order to rule out any natural explination of the phenomina.
Some of the popular “Spook” shows who depict priests or a “Bishop” Robert McNamara, because they are either priests who have left the Catholic Church, or members of other churches that call their clergy priests. No priest who is loyal to his bishop would appear on these TV programs.