If you itemize, yes, you can. Personal Property Taxes are an itemized deduction. They are all entered on the federal return and TurboTax will transfer them to your state returns.
How to enter your personal property taxes? The link refers to car registration, but this section is for all property tax other than real estate.
For the cars, only the portion based on the vehicle's value qualifies, but this chart will tell you what you can enter based on your state.