B.Sc Zoology

Yes, you can. You can do postgraduate courses:
M.Sc in Forensic Science
PG Diploma in Forensic Science
A candidate who has studied science i.e. (Physics / Chemistry / Zoology / Botany / Biology / Biochemistry / Microbiology / Applied Medical Sciences / Biotechnology or / Medicine / BDS/ Engineering / Pharmacy with 50-60%, he is eligible for taking admission in M.Sc Forensic Science. The best institutes for doing this course are:
Due to increase in crime rate and criminals, the scope of forensic science is increased exponentially. There are lots of job opportunities in the field of forensic science. The need of forensic scientists is huge all around the world, especially in India. Some of the forensic scientists visit the crime scene to collect the evidence themselves and another one work in a forensic laboratory to perform analysis on objects. In the forensic laboratory, they testify as expert observers in both criminal and civil cases and can work for either the defense or the prosecution. Forensic scientists can be employed in the government sector. They work in different law enforcement agencies and investigation departments such as police, investigative services of state and central government and legal system. Some of the private agencies also employed those candidates who have some qualification in this field. A trained forensic scientist may get hired by the Central Bureau of Investigation (CBI) & Intelligence Bureau (IB). You can also work as a freelancer as forensic scientists specializing in one segment & can be paid much. You can also work as a legal counselor after gaining experience as a forensic scientist. Teaching is another interesting career for forensic scientists. You can work in the institutions that impart education in forensic science. Candidates have a degree, they can explore the career in forensic science in the USA and other developed countries.