Yes, you can apply for the PEI PNP without a job offer. You can apply for the PEI PNP without a job offer if you are going through the Express Entry stream and meet the other eligibility criteria. That said, having a valid job offer greatly boosts your EOI score and your chances of getting picked. PEI tends to favor applicants with connections to the province, like work or school experience. You can apply for the PNO without a job offer, but you will be up against more competition, so you will need a strong EOI score, relevant work experience, and good language and adaptability skills.