Yes—this can be done either in-camera or as a composite.

In a single exposure, the usual approach is a long shutter speed plus a very brief flash burst to freeze the subject. The light trails come from the long exposure, while the flash lights the model for only an instant, keeping them sharp. If the lighting on the subject looks soft and flattering, that suggests off-camera flash modified with something like a softbox, umbrella, or bounce.

For these kinds of images, first-curtain flash is often preferable: fire the flash near the start of the exposure, then create the light painting afterward. That helps avoid focus/framing issues if the camera or subject shifts during the rest of the exposure. Second-curtain flash can also work, but it’s more useful when you specifically want the frozen subject at the end of the motion trail.

A composite is also common—and often easier with digital—because you can shoot the sharp subject separately and blend in one or more light-trail exposures later for better control.