Apart from just masters in chemistry or masters in different areas of chemistry like applied chemistry, organic/inorganic, industrial, physical, theoretical chemistry you can go for 

PG diploma courses in gemology, analytical chemistry, lab technicians, clinical research and bio-informatics.

Food Sciences, Criminology & Forensic sciences, Nutrition and Dietetics and Bio-sciences are also some of the fields you may choose from.

If you're a teaching enthusiast you can go for teaching with a B.ed. 

You can even have a career in management field after MBA (Pharma Marketing) .

You can go for govt. exams lile AFCAT, IBPS or civil services.

Some people also opt for LLB if they qualify CLAT. 

Hello aspirant,
I am glad to learn about your interest in this field.
As per your question i do understand your concern and it is pretty obvious.
Now, let us cime to your question. Well, the answer is answer is yes.
Yes, one can persue post graduation in any other stream as well.
You can go for:
Biotechnology
Biophysics
Biochemistry
Biomedical
Microbiology
These are just a few to name.
I hope this answer was helpful.