Huguenot falls under New York City's Community School District 31, which covers all of Staten Island. Families move to the South Shore for the schools, and Huguenot sits in the middle of a strong cluster.
At the elementary and middle level, the neighborhood is served by schools like PS 5 The Huguenot School and PS 6 Corporal Allan F. Kivlehan, with IS 7 Elias Bernstein and IS 75 Frank D. Paulo nearby. The zoned high school, Tottenville High School, is actually located right here in Huguenot—one of the largest and most established high schools on the Island, within reach without a citywide commute.
For families chasing a specialized seat, Staten Island Technical High School in nearby New Dorp is one of the city's exam high schools—consistently ranked among the top public high schools in the city and the country by Niche and U.S. News. Admission is by the citywide SHSAT exam, not by address. Catholic options are dense across the South Shore too, including St. Joseph by the Sea and Our Lady Star of the Sea.
I don't grade schools for you—that's your call and your family's. What I'll do is point you to the zoned schools for any specific address and the current third-party ratings on Niche, GreatSchools, and U.S. News, so you're deciding on real data.