Hello Aspirant,
No , it is not required. While filling in MAT application form , you will be allowed to give five college choices to which you need not separately apply as AIIMA will send your profile and application to those institutions . After result declaration , based on your score , you will receive interview call letter if you qualify their cutoff . Apart from those 5 ,you can apply separately to other universities or colleges as well by visiting their official website. You will have to pay separately for that.
https://bschool.careers360.com/articles/mat-important-dates
https://bschool.careers360.com/articles/mat-syllabus
https://bschool.careers360.com/colleges/list-of-mba-colleges-in-india-accepting-mat
All the best
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