Rather than answering directly the question posed, let me offer some generic comments on the topic of lighting for portraiture...
- You need a Main source, for highlights to improve upon facial modelling
- You need a source of fill illumination for contrast ratio control
- You need to be able to visually 'separate' the main subject from the background, from a tonality point of view
#2 could merely be a reflective surface aiming some of the light from the Main source onto the shadow areas of the subject
#3 could be a background light on the b/g, or a rim light on the subject, or both, or it might merely be the selection of a background of a DIFFERENT TONE!
IOW, you really only need ONE, -- but even that can be sunlight coming in through a window, so the answer is that you might not need any artificial sources!