Yes—your existing kit can work in a small space, especially if you aim for soft light. In a tight area, the simplest setup is to use one light on the mannequin at an oblique angle and the second light on the background to keep it bright and clean.

If space makes direct lighting too harsh or cramped, bounce the lights off white walls or large white boards to make the light source effectively larger and softer. That can help clothing look smoother and more flattering. Reflectors can also fill shadows without needing another lamp.

This works best in a white or neutral-colored room. Strongly colored nearby walls or objects can contaminate the light and affect the clothing color. If the walls aren’t white, place large white reflective surfaces against them and bounce into those instead.

With only 6x7 feet, you won’t have perfect control, so expect some trial and error with angles and distances. But with soft bounced light on the mannequin and a separate light for the background, you should be able to get a decent commercial-looking result without buying more gear.