Hello Aspirant,
Hope you are doing good.

Yes, You can pursue both courses as an integrated dual degree courses
Students are allowed to do  Bachelor of Education and Master of Science as an integrated degree course after covering the eligibility criteria of both the courses.
University Grants commission(UGC) has given permission to pursue dual degree programmes simultaneously.
Students are now allowed to enroll in a regular full-time degree programme to pursue one more additional degree programme simultaneously on open/distance learning mode from the same university or another institution. you can do an MSc and B.Ed together.

Hope this information helps you.
All the best.