Yes actually!
In the Summer of 1775 as the war was spreading out from Boston, Hamilton was the captain of a new militia company formed with fellow college students. He was part of an effort (along with Hercules Mulligan) that hauled away most of the 24 cannons from the fortifications at Battery Park on the Southern tip of Manhattan.
I wrote more about the context and events, along with quoting Mulligan's recollections at length in this post from last year!