Yes, you can perform this operation with the help of a few programs from the audio category. First install Audacity to cut the songs you need. You can download it through the application's page at Software Informer. The software allows exporting to a wide range of audio formats. Secondly, use MixMeister Studio product to mix the songs you have edited. Of course, MixMeister Studio has its own editing features, but I believe Audacity is more simple to use. MixMeister is created especially for mixing and Djing.