There are a few city tax returns that can be done on TurboTax, but only a few. If yours is one of them, it will come up in the state return. If not, then you are on your own to check you city's web site for forms, etc.
City Tax Returns
https://ttlc.intuit.com/questions/1899325-which-city-tax-returns-can-i-do-in-the-turbotax-state-program