Yes Kate,if the the 18*55 mm Nikkor lens uses 55 mm diameter filters. The UV/Haze filter you have selected is what I bought a few weeks ago. As an advanced amateur photographer two filters you need for your lenses are the UV=Haze (use for lens protection and clearing haze of in the distance) and a circular polar riser filter. This will allow you to enhance sky and clouds' and reflections off snow, water, and sand, for scenic shots.
Good and have fun on your trip..
Tekman