Absolutely! You can definitely apply for New Zealand even if you've completed your 12th from the PSEB Open Board. While they might have specific requirements, many universities and institutions in New Zealand accept students from various educational backgrounds.

The most important thing is to ensure that your qualifications meet their minimum entry criteria. This usually involves having a certain GPA or percentage, and sometimes specific subjects. It's also crucial to demonstrate English language proficiency through exams like IELTS or TOEFL.

I'd recommend checking the websites of universities you're interested in for their specific requirements and deadlines. They often have detailed information about the application process, visa requirements, and living expenses.