Yeah, Fordham University does provide scholarships based on merit. Here are some of them:

Presidential Scholarship
Total Worth: Full-tuition
Eligibility: Full-tuition
Minimum Criteria: based on excellent academic achievement in high school, test scores and personal characteristics
Requirement for maintenance: maintain 3.0 GPA

Dean’s Scholarship
Total Worth: $15,000
Eligibility: $15,000
Minimum Criteria: based on high academic performance in a competitive curriculum, and above 1450 SAT Score
Requirement for maintenance: maintain 3.0 GPA

Loyola Scholarships
Total Worth: $1,000-$12,500
Eligibility: $1,000-$12,500
Minimum Criteria: based on high academic performance and leadership ability
Requirement for maintenance: maintain 3.0 GPA

Fordham University provides aids at an average of 36410 per student meeting 80% of students need. 100% of students with need receive financial aid at an average of 28133 need-based grant. They also provide other scholarships including UPS Foundation Scholarship and Fordham Theatre Scholarship.