Only with corrective optics
Fujifilm X sits 0.70mm further from the sensor than Nikon 1. An adapter can only add distance, never remove it, so infinity focus is impossible without corrective glass in the adapter — which costs sharpness and usually a stop of light.
Coverage & framing. Nikon 1 lenses are built for a 1-inch imaging circle, which is smaller than APS-C. Expect heavy vignetting or a forced crop on a Fujifilm X body.