Customer report

Yes, there are multiple ways to do this! The most simple way - When creating your in app message, if you are using the traditional editor, you will have the option to add up to 2 buttons. The first will be assigned Button 1 and the second will be assigned Button 2.  If you elect to use the drag and drop editor instead, when you add buttons, you will need to set the button Identifier for Reporting to "0" for Button 1 and "1" for Button 2 (see this page for explanation). Then you can go build a segment using the filter "Interacted with Campaign" where you make filter setting "Clicked Button 1 (or 2) for X Campaign." Once you have built that segment, you can export the contact list of users in that segment as a CSV.

Another, slightly more complex way - you can create two custom events (e.g., clicked_b1, clicked_b2), and using the traditional IAM creator, you can set the Activity on Button Click to register a custom event, where the custom event you set is those events you have created. Keep in mind that with this message, the custom events will count as data points.