It is not common in comparison to inks intendedThere are many possible arts & crafts uses for high contrast, but you can buywhite ink for fountain pens that is white or off-white. (If the off-white isn't pale enough, it can be diluted with water to further lighten its color.) It's alsoso it's definitely possible to buy ballpoint or paint pens with white ink/paint. Look for a "gel" pen with white ink, and it should meet all the requirements that you have outlined.
Asking at your local arts & crafts store is the fastest way to find a good source of such implements, but there are also plenty of online suppliers (here is a Guide to Choosing White Gel Pens and Markers from one example).