Is it possible to pursue a clinical program now, or should I go for a master's program for a MSc?

It depends. With your BSc in Chemistry and MSc in Biochemistry, directly entering a clinical program (such as medicine or nursing) is challenging, as these usually require prior professional healthcare qualifications.

A master's program in a related field - like biochemistry, biotechnology, molecular biology, or clinical research - is a more accessible and suitable path for your background. This can lead to careers in clinical research, diagnostics, or the pharmaceutical industry, which are closely linked to clinical applications.