Sorry no. And you can't upgrade from Home & Business to just the Business program.
You need Turbo Tax Business.
The small business program (TT Business) is for 1120 Corporation, 1120S Corp, 1065 Partnership or 1041 Estate/Trust returns and will not do your personal 1040 return. It is a separate program from the Desktop Home & Business program or the Online Self Employed version.
Turbo Tax Business is not available to do online or on a Mac. You can buy the Window's version here. And you can have both TT Business and TT Home & Business (or any personal version) installed on your computer at the same time.
https://turbotax.intuit.com/small-business-taxes