Yes, you can view your paid and unpaid bills in the QuickBooks app. Just scroll down on your dashboard, and in the Bill Pay section, you can see the Overdue bills, upcoming bills, and paid bills.
You can also click the Menu icon and click the All button then go to the Bill Pay section. To view the details of each transaction, you'll have to click if it's paid or unpaid.
Also, you can do this task using the web version of QuickBooks Online. Simply open a browser like Google Chrome, Internet Explorer, or Mozilla Firefox, log in to your QBO account and see your paid and unpaid bills from there.
Please know that mobile app features differ from one kind of phone model to another. I'd recommend checking this article as your reference for the features available using different devices: Compare mobile app features.
Additionally, I've collected these articles that will guide you on how to track bills and record their payments: