The Hudson River Valley though extends well up to Upstate and splits off to the Great Lakes. With Albany squatting on the confluence of the Mowhawk the New Yorkers can hold it all.
Albany is pretty much the end of the line for New York Power.
1) The Hudson's end of navigation is a handful of miles north of Albany. Going up for Fort Edward requires several portages at the time (Now thanks to works, just two) over the falls north of Troy, and then even you're still 20 miles away from the End of Lake George. Even if you get up to Lake/George and Lake Champlain, there are no easy paths outside of the river/lake valley you just have to go all the way up to Montreal.
2) The Mohawk until the 20th Century was for practical purposes either a dry ditch or a canoe-creek for most of the year. Beyond that you have tax revolting farmers, and wilderness which without assured access to the Ohio country turns into from the perspective of Early New Yorkers, is absolutely useless. And of course its territory that they would have no means of enforcing power and authority in.
3) Until the development of the Constitution, New York's power to enforce itself went nowhere past Forth Johnson (Near Modern Amsterdam) and the old Bemis Heights Defenses (Near Modern Saratoga Springs). Besides Native peoples and Vermonters, and Loyalist Holdouts the only new settlers coming into the North Country and Western New York were New Englanders who weren't much interested in listening to New York.
So, without the assurances of the Federal Government, no, New York does not have the ability to continue to have authority over its normal borders. New York City is not destined to be the greatest in northern North America, and New York is not destined to build a canal or assure massive development outside of the NYC-Kingston-Albany corridor of the Hudson River Valley.