No. The online program is one return per account. So, if you have multiple filings to do, then you HAVE to create a separate online account for each filing and each account would be a separate charge (unless can use free edition for some of the returns).
If you have multiple returns to do, then you could look into the desktop program. You can purchase online as a download (or have CD shipped) at the link below. You can also find it in most retail stores.
With this program, you can prepare as many returns as you like, but you are limited to 5 electronic files. The pricing structure is a bit different - when you buy the software, federal preparation and e-filing is included (up to 5, you can print and mail after that) and one state program is included for preparation, but you pay separately to e-file state returns (you can print and mail for free). So, if everyone lives in same state, then you would only need to pay for any state e-files. If there are multiple states, then you would have to buy any additional states.
Overall, if you have multiple returns to prepare, then the desktop program can save you money. But, there will be no online access. Everything is stored on your local computer only. So, you will need to make sure you make backup copies of everything.
https://turbotax.intuit.com/personal-taxes/cd-download/
