HELLO,

Yes you can apply for an MSc in chemistry or Zoology after completing your BSc provided you meet the specific eligibility criteria of the institution you are applying to. Generally a BSc degree in a related science field is required and some universities may have a specific entrance exams

MSc chemistry :-

1.Eligibility:- a Bsc degree in chemistry or a related field with a minimum percentage around 50-60 percent

2.Entrance exams :-Many universities conduct their own entrance exams like MSc chemistry like CPGET , CUET PG , IIT JAM

MSc zoology

1.Eligibility :- a BSc degree in zoology or related life sciences is often a requirement . Some universities may also accept students from allied medical sciences

2.Entrance exams :- Some universities conduct entrance exams for Zoology while others may offer admission based on merit

You can visit the link :- https://www.careers360.com/courses/msc-in-zoology

https://www.careers360.com/courses/msc-in-chemistry

Hope this Helps!