Parishes can exist without a resident priest

Can. 526 §1. A pastor is to have the parochial care of only one parish; nevertheless, because of a lack of priests or other circumstances, the care of several neighboring parishes can be entrusted to the same pastor.

§2. In the same parish there is to be only one pastor or moderator in accord with the norm of can. 517, §1; any contrary custom is reprobated and any contrary privilege whatsoever is revoked.

Can. 517 §1. When circumstances require it, the pastoral care of a parish or of different parishes together can be entrusted to several priests in solidum, with the requirement, however, that in exercising pastoral care one of them must be the moderator, namely, the one who is to direct the joint action and to answer for it to the bishop.

§2. If, because of a lack of priests, the diocesan bishop has decided that participation in the exercise of the pastoral care of a parish is to be entrusted to a deacon, to another person who is not a priest, or to a community of persons, he is to appoint some priest who, provided with the powers and faculties of a pastor, is to direct the pastoral care.