She has to first prove she can appeal to upstate New Yorkers in any statewide race at home before she can even think of running for President.
She actually doesn't though... that's not how running for president works.
You declare you are running - officially, filing paperwork and with the blessing of your party, unless you're an independant - and then you're in the race. That's what Trump did.
New York is Democratic enough these days to where AOC would be elected to the Senate if she got the Democratic nomination. She wouldn't carry the small town and rural counties, but she's likely carry Erie County (Buffalo) and Albany County (Albany).
Nope. She would most likely not win the nomination.