Yes, there are many different types of scholarships provided by IITM for economically and socially challenged students.
Some scholarships are awarded by alumni of the institute, while others are provided by companies and the Government of India. You can find a detailed list of these scholarships here.
IITM also offers the option of studying one semester in a prestigious university abroad and if a student applies for this exchange program, the team at IITM tries their best to get them a scholarship to cover the entire cost of the semester. This is based on the student’s academic performance, co-curricular activities and overall performance.