Can I run Konqueror without running KDE?
Yes. Just install Qt, kdelibs and kdebase, and from your favourite window manager, just launch Konqueror. It should work just fine, but if it doesn’t (KDE developers don’t test that case often), report it to http://bugs.kde.org and try running “kdeinit” before running Konqueror, it usually helps. This is of course the same for any other KDE application.
Yes. Just install Qt™, kdelibs and kdebase, and from your favorite window manager just launch Konqueror. It should work just fine, but if it doesn’t (KDE developers don’t test that case often), report it to http://bugs.kde.org and try running “kdeinit” before running Konqueror, it usually helps. This is of course the same for any other KDE application.