Yes.
This is the general rule: The income is work state (WS) source income since it was earned there. Resident States (RS) tax all their resident's income, regardless of where earned. You will file a non-resident tax return for the WS and report the WS income. You will file a full year resident return for the RS, reporting all your income. The RS will give you a credit, or partial credit for any tax paid to the WS.
Some states have reciprocal agreements, on wages, with neighboring states. No WS state taxes are withheld or due and you do not need to file a WS return. But your home state will tax you on your WS income.
. In a reciprocal situation, the RS will not give you a credit for tax paid to the WS. Instead, if WS taxes are mistakenly withheld, you have to file a WS return to get a refund.
https://ttlc.intuit.com/turbotax-support/en-us/help-article/state-taxes/states-reciprocal-agreements...
