First, I would like to express my condolences on the passing of your brother.
Yes, you can file your Brother's taxes using TurboTax. You will need to set up a separate account for his Tax return.
As you start the TurboTax interview, under the Personal Information section, you should choose "I'm preparing this return for ______ who is deceased". Next, you should enter the date of death. From here you can prepare his return as you normally would.