No, there will be no problems arising from entering multiple W-2's.
To enter a W-2, follow the steps below.
- Sign into TurboTax online
- Click Take me to my return
- Choose the Federal tab if you are not already there
- On the Income and Expenses tab, you can click Add/Edit next to the W-2 section.
- You can then add another W-2, by clicking the option Add a W-2.