I work summers in Alaska. Is there a way to have my NYS taxes taken out of my paycheck?

As stated, I live in New York state and work summers in Alaska. I get hit with a tax bill to NYS every year since AK has no income tax. I know I could just put additional withholding on my fed W4, but I'm wondering if I can have my AK employer file a NY IT 2104 or if that is even what that form is used for? Or is there some other way to have NYS taxes withheld on my AK paycheck.

Thanks in advance!