Welcome to the ODK forum, @shelynna! We're glad you're here. When you get a chance, please introduce yourself on this forum thread. I'd also encourage you to add a picture as your avatar because it helps build community!
The configuration of the app name and icon is not something that is possible with default Collect. You would need to fork the project, change the code, and then publish the new app on your own Google Play Store Developer account.
It is possible to include an organization logo within a survey form. See this discussion for an example: ODK template logo (How to insert organisation logo)
Can you explain more your use-case? Why do you need to change the app icon?