ME construction and management is a 2 years postgraduate course and it does not matter whether you are working or not .

The only thing is that you must meet the eligibility criteria for ME construction and  management .

And the eligibility criteria for construction and management course is that you must have passed the graduation i.e. B.E. or BTech or any equivalent graduation course from any branch of engineering.

So if you meet the eligibility criteria you can surely go for construction and management course.

To know all about this course , follow the given link :

https://www.careers360.com/construction-management-course