Thanks in advance...

Hi @wpryan,
Would you explain more about the removing record part? If you mean that after a record is created by the user in the app, you want him to be able to delete the record too in the app, then this is possible. You just need to create an auto-generated app using Excel connection. You will see that this generated app has everthing you need. You could also share the app with other users.
For your reference:
https://docs.microsoft.com/en-us/powerapps/maker/canvas-apps/get-started-create-from-data
Regards,
Mona