Yes, you can pursue an MPhil after completing your BS (Bachelor of Science) degree.
According to the provided reference, admission to an MS/MPhil/equivalent program requires that "the student shall have been awarded his or her M.A./ M.Sc./ LL.B./ BS(Hons.) 4 years/ B.Sc." This statement makes it clear that a 4-year BS (Honours) degree is an acceptable prerequisite for entry into an MPhil program.
In summary, a 4-year BS (Hons) degree qualifies you for an MPhil program. A standard BSc might also be acceptable depending on specific university requirements. Always check with the institution offering the MPhil program for their specific admission criteria.
