Yes you can. In the layout use a datasource microflow to retrieve the logo of that customer. If you want a complete CSS change you can do that also and much easier then Ralph his suggestion. There is an app for that: https://appstore.home.mendix.com/link/app/3067/TimeSeries/StyleSheetSwitcher
We solve this by loading different css into the project. In your css you can set the background image of a logo class.
We have made it work by having a different layout for our switcher page (page on which you can switch from one tenant to another).
When returning to the application the old layout is refreshed and is thus showing the selected tenant information