If you maintain your domicile in CA, then you remain a resident of CA for tax purposes until you abandon that domicile and establish a new domicile in another state.
NY will consider you a resident for tax purposes if you maintain a permanent place of abode in New York State for substantially all of the taxable year and spend 184 days or more in New York State during the taxable year, whether or not you are domiciled in New York State for any portion of the taxable year. This type of residency is called statutory residency.
It is possible to be both a domiciliary resident of one state and a statutory resident of another.
CA will allow its residents to take a credit on their CA tax return for taxes paid to another state on income that is taxed both by CA and by the other state, as long as the income is sourced within the other state. You can read CA's detailed rules here:
https://www.ftb.ca.gov/forms/2019/2019-540-s-instructions.html
On the other hand, if you have to file in in CA as a domiciliary resident and in NY as a statutory resident, NY will not allow you to take an other state credit on your NY return. Here is NY's rule on that:
"Taxpayers with dual residency status – If you are a resident of New York State for personal income tax purposes and also deemed a resident of another state for income tax purposes under its law, no credit
is allowed if the other jurisdiction allows a credit against its tax for the total resident tax paid to New York."
https://www.tax.ny.gov/pdf/2014/inc/it112ri_2014.pdf
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
