You may. In general, unless your employer specifically acted to establish a bona fide employer office at your telecommuting location, you will continue to owe New York State income tax on income earned while telecommuting.
There is a rule called the New York Convenience Rule that permits state tax authorities to tax NY-based employees for days worked remotely in a location outside of NYS.
Unless you have clear and convincing evidence that your employer specifically acted to to establish a bonafide employer office at your location, you will need to file a NYTS non-resident return and declare the income earned through your NY employer.
Convenience of Employer Rule
NYS Dept of Taxation
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