Can I use Rekordbox w/o my controller

If I understood you. You want use any dj software without controller. I am not sure about Rekordbox,but others programs can do it, You have to connect your speakers to laptop audio out ,and for headphones,you have to have external usb sound card. First off all download ASIO4ALL DRIVER. It's free.External audio sound card cost few bucks .Or If you have, 5.1 sound card in your pc is possible that will work for you. I hope that helps 

Rekordbox DJ will work as a stand alone for this purpose.