Yes indeedy. NT is very dairy-based but it is also based on traditional principles. Not all traditional societies had dairy in the diet. You can ferment with just salt instead of whey (traditionally sauerkraut and kimchees are made with just salt, no dairy), and use something sour like vinegar to soak flours/grains.
I actually don't cook the recipes out of NT, just used it to get basic concepts which I then applied to other recipes. Once you get the hang of it, you can pretty much convert any other recipe out there.
But if you're interested in a "cookbook" then you can get The Garden of Eating Diet http://www.thegardenofeatingdiet.com
which is not only dairy free but also grain-free (more of a paleo diet).
edited to add that I am doing a dairy-free, grain-free nt-style diet at the moment.