Definitely not, Papa Bear. Outside of the Adirondacks and Catskills, the only "mountainous" areas in New York are the Taconics, which top out in the low to mid 2000s, and the Shawangunks, which I don't believe even reach 2000. There are no irregular "Monadnocks" anywhere in the state that I know of. Also, upon closer review, ALL 35 of the Catskill 3500 Club Peaks would be included in the list of New York's Highest Hundred plus presumably a few other Catskill peaks. According to my High Peaks Region guide (1992) edition, the lowest of the ADK 100 would be Unnamed Peak (Brown Pond) near Indian Lake at 3425 feet. At #89 by rank, Little Santanoni Mt at 3500 feet even would be the last of the ADK 100 at 3500 or greater.
CORRECTION - 5/19 - The above is obviously a very good example of very bad math and very bad logic. About 3 hours after posting, I was doing something else, stopped in my tracks and thought ... What the heck was I thinking? Mr. Oysterhead has it right in the post below. 24 Catskill peaks (not 35-plus) would be on the list. I could have just edited out my bad math, but that would just be lame.