Yes but only if you have rental income in your nonresident state where the property is located. For any taxes paid to this nonresident state, you will be allowed a resident state tax credit.
If you have nonresident rental losses and this is your only source of nonresident income/loss, you have no filing requirement in that nonresident state. However, you may want to consider filing a return anyway so that you can establish with your nonresident state that the rental property produced a passive loss (which can be carried forward and used against future passive income).
You will still need to include your rental activities (income or loss) on your federal and resident state tax returns.
