Yes. If you do not want a refund (if applicable), do not need to claim a credit for taxes paid to other state on your resident return, and are below minimum the minimum filing threshold for the non-resident state, you do not need to tell TurboTax that income was earned in that state.
Remember that this income will be taxed in you state of residence (if your home state has an income tax) with no offsetting credit if you don't file a return in the nonresident state.
You can read more about living and working in different states here: Multiple States—Figuring What's Owed When You Live and Work in More Than One State
