Yes, you can give NEET exam while pursuing BSc 1st year pass course. NEET (National Eligibility cum Entrance Test) is conducted by the National Testing Agency (NTA) for admission to undergraduate medical courses like MBBS, BDS, etc. in various medical institutions across India.

Eligibility Criteria for NEET Exam:
- The candidate must have completed 17 years of age as on December 31 of the year of admission.
- The upper age limit is 25 years for general category candidates and 30 years for reserved category candidates.
- The candidate must have passed 10+2 or equivalent examination with Physics, Chemistry, Biology/Biotechnology, and English as core subjects.
- The candidate must have scored a minimum aggregate of 50% marks in PCB (40% for reserved category candidates).

BSc Course and NEET Exam:
- Pursuing a BSc course does not affect your eligibility to appear for NEET exam.
- As long as you have passed 10+2 or equivalent examination with the required subjects and marks, you can apply for NEET exam.
- However, you should ensure that you fulfill all the eligibility criteria before applying for the exam.

Preparation for NEET Exam:
- NEET exam is highly competitive and requires consistent and dedicated preparation.
- You can refer to various study materials and online resources available to prepare for the exam.
- You can also join coaching classes or hire a personal tutor for better guidance and preparation.
- Regular practice of previous year question papers and mock tests can help you improve your speed and accuracy.

In conclusion, you can definitely give NEET exam while pursuing BSc 1st year pass course. However, you should ensure that you fulfill all the eligibility criteria and prepare well for the exam to increase your chances of success.