Yeah, College of New Rochelle does provide scholarships based on merit. Here are some of them:

Trustee scholarship
Minimum Criteria: Demonstrated high academic achievement and effective leadership skills; SAT combined score of 1500 or higher; GPA of 96 or above
Requirement for maintenance: Maintain a GPA of 3.5 or above

Honors scholarship
Total Worth: $16,200
Eligibility: $16,200
Minimum Criteria: Exceptional academic high school performance and expectation for contribution to the academic life ofthe College Community
Requirement for maintenance: Maintain a GPA of 3.5 or above while being admitted in Honors Program

College of New Rochelle provides aids at an average of 29183 per student meeting 57% of students need. 100% of students with need receive financial aid at an average of 13685 need-based grant. They also provide other scholarships including Art Scholarships and Choir and Musician Grant.