Technically, the answer is no, but I have loaded a JigSaw server into nsjava and used it to try out webdav support from aolserver (jigsaw should also provide servlet support), and I think someone mentioned that they had run tomcat from nsjava.
In essence, nsjava is a tcl extension module that allows you to load java libraries and access them from tcl. nsjava isn't currently integrated with aolserver's http connection interface, so it's not possible to provide direct servlet support from nsjava. At some point, I will probably try adding servlet support, since so many java packages are designed for use with servlets. Adding servlet support will make re-use of java packages much easier.