Yes,
Boxes 15 -17 show what state the income was taxed in and what tax was withheld and paid to that state.
It could report more than one state.
This does not mean the the state shown in Box 15 on the W-2 is the PROPER state for which you need to pay tax to, but it does indicate which state(s) to which your employer paid the state tax which was withheld.
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