Yes, a commerce student with a background in 12th and graduation (B.Com) can pursue a Master's degree in Construction Management . There are usually no restrictions based on the undergraduate stream for enrolling in such programs.

Some universities might have specific prerequisite courses in mathematics, statistics or basic engineering principles for their M.Sc. CM programs. These prerequisites ensure students have a foundation in quantitative subjects relevant to construction management.

https://www.careers360.com/courses/mba-construction-project-management

I hope it helps !