Yes, if the broker is one of the TurboTax partners. Most broker and bank Form 1099's will not be available for import until late January or early February.
See this TurboTax support FAQ for importing 1099's - https://ttlc.intuit.com/questions/2580838-when-will-i-be-able-to-import-my-1099
And this Support FAQ for how to import - https://ttlc.intuit.com/questions/1934506-how-do-i-import-my-1099
