No you cannot open a 2014 tax data file with the 2016 TurboTax desktop program software. The 2014 tax data file can only be opened by one of the TurboTax 2014 desktop editions installed on your personal computer.
Go to this TurboTax website to purchase a download of the prior year (2014 thru 2016) desktop editions - https://turbotax.intuit.com/personal-taxes/past-years-products/
