Hi Jon,
Yes, it can be achieved.
1. Go to customizer > layout > primary navigation, and set the navigation location to below header.
2. Go to customizer > layout > header, set Header Alignment to center to center the logo.
3. You can go to appearance > widgets to create your topbar.
4. Go to customizer > layout > sticky navigation, activate sticky navigation, upload logo for sticky navigation.
Once it’s done, we can take another look and provide some CSS.