I live in ohio and recieved a k1 as a limited partner from a property that is owned in florida. Do I need to list that as income in another state

No you don't since FL has no state income tax.

TurboTax asks that question to see if you need to file a tax return for another state.

Even if it had been a state with a tax, that would not be income for that state. Income on a K-1, for a limited partner, is treated as a dividend, unless you actually worked in that other state for the partnership.