This answer assumes you live in Ohio.
No. The local income tax your employer withheld is City Income tax. City income tax may not be credited on a School District (SD) Income Tax (SDIT) return. They are two separate taxes.
Some Ohio Cities have an
income tax. Any Ohio
city, with an income tax, is allowed to have withholding taken out of your pay
while you worked in that city. Your employer is required to do that
withholding. You can't get a refund unless it was improperly withheld, i.e. you
didn't actually work there for all or part of the time that your employer was
withholding. If you live in a city (but not an SD) with an income tax that city will usually allow a credit or partial credit for
the withheld tax you paid to the work location city.
To verify or find out if you live in a school district or city with an income tax enter your address at: