No, images (or any content for that matter) in Resources are not ‘part of the project’, they are located in their original locations on your hd and ‘referenced’ by Resources, ie if you remove the original then resources will not be able to reference it.
You can enable a setting in the project that combines everything into one big project but I’ve never used it (nor resources) so I can’t remember it’s name.
Have a read of this thread from 2016 and see if sounds familiar Resource Links Broken When Synced to Second Computer