Yes, it's pretty straightforward.  The only thing to bear in mind is that since both the diameter and radiation solid angle of the LED chip will be greater than a 100 micron fibre can accept, there will inevitably be a fair amount of light loss.  However, a lot of light will still get through, and since the illuminated area at the other end of the fibre will be correspondingly smaller, the illuminated area is likely to be just as bright as you could get for direct illumination.  Although you could in principle attach the fibre directly to the LED, in practice it's likely to be a lot more convenient to focus an image of the LED onto the entrance of the light guide, as it's much easier to optimise things this way.  We can supply the parts to do this.