Maybe, but it's complicated.
NY is one of 7 states that taxes you on earnings from in-state companies even if you live out of state. The key is whether you work out of state for the employer's convenience or your own convenience. If you work remotely for your own convenience, you pay NY tax on the income. You don't pay NY tax on other out-of-state income like other jobs, or investments, so you will file a NY non-resident return and report your wages earned from a NY employer if you are working remotely for your own convenience.
For example, if you are a repair technician for a medical equipment company and your territory is Florida, then you are working in Florida for the company's convenience. If you are a graphic designer, and the company has a New York office where you could work, but they let you work remotely, then you are working remotely for your own convenience. It's also possible your status would change during the year, for example, if you are working remotely for your own convenience, and then the company decides to close their physical office and have all their employees work remotely, then your situation has changed with that decision.
