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

Presidential Scholarship
Minimum Criteria: Based on academic performance
Requirement for maintenance: Enrollment in full time study; GPA of 3.0+ for the first two semesters; GPA of 3.3+ for each subsequent semesters

Honors College Scholarship
Total Worth: $5,000 per year
Eligibility: $5,000 per year
Minimum Criteria: individual outstanding achievements

Panther Academic Success Scholarship
Minimum Criteria: exceptional achievement

Adelphi University provides aids at an average of 21500 per student meeting 52% of students need. 100% of students with need receive financial aid at an average of 19902 need-based grant. They also provide other scholarships including Adelphi University Talent Awards and Adelphi University Math and Science Initiative Award.