Hi there! Sam from Moz's help team here!
There is a way of checking domains for DA/PA metrics by bulk using the Mozscape API - but you might need a web developer to help you use it.
You can check out the Overview of the API and the kinds of data you'll get back from it on this page:https://moz.com/help/guides/moz-api/mozscape/overview
And get started on this page:https://moz.com/help/guides/moz-api/mozscape/getting-started-with-mozscape/create-and-manage-your-account
I hope this helps! Let me know if you have any other questions or if there's anything that needs clarifying!