I don't believe there was any Staten Island county poll for the election, as least i can find of, but i bet he definitely over performed in the county according to such a poll as he did in other states and regions with the similar white working class and Italian/Irish White Ethnic and also with the average state polling overall in the Midwest and Northeastern regions.
EDIT: On a second note i did find one county prediction for them by
http://benchmark.shareblue.com/counties/. As expected the prediction only showed Richmond county at plus 7 with Trump doing much better then expected according to that.