Yes, but bear in mind that's not a GD limitation. It's how Unix (and Linux) systems work: they rely heavily on shared libraries. You have 2 options at least:
1) Statically link all dependencies. You will need to compile QT statically first before being able to build them with GoldenDict. This probably is NOT an option because Qt libraries can not be statically linked as it goes against the LGPL licence. You might need to have a commercial licence for that and again I'm not sure if that's even possible because GoldenDict has a GPLv3 licence. Please read about that here
http://blog.qt.nokia.com/2009/11/30/qt- ... -decision/ and here
http://qt-project.org/doc/qt-5.0/deployment.html or google it. Maybe you can do it for personal use and if you don't distribute the program. I'm not a lawyer

2) Create a shell scripts that modify the LD_LIBRARY_PATH environment variable used by the dynamic linker. This way you can temporarilly change a library for another located on the same directory as GoldenDict. This settings exist while GoldenDict is running. It can have issues with existing installed program. If you want to know all GoldenDict dependencies you have to run $ ldd /path/to/executable/goldendict on a terminal. This is my output:
linux-gate.so.1 => (0x00557000)
libz.so.1 => /lib/i386-linux-gnu/libz.so.1 (0x00110000)
libbz2.so.1.0 => /lib/libbz2.so.1.0 (0x00a08000)
libX11.so.6 => /usr/lib/i386-linux-gnu/libX11.so.6 (0x00125000)
libXtst.so.6 => /usr/lib/libXtst.so.6 (0x00f3f000)
libvorbisfile.so.3 => /usr/lib/i386-linux-gnu/libvorbisfile.so.3 (0x00edc000)
libhunspell-1.2.so.0 => /usr/lib/libhunspell-1.2.so.0 (0x0025b000)
libQtWebKit.so.4 => /usr/lib/i386-linux-gnu/libQtWebKit.so.4 (0x00f46000)
libphonon.so.4 => /usr/lib/libphonon.so.4 (0x00562000)
libQtXml.so.4 => /usr/lib/i386-linux-gnu/libQtXml.so.4 (0x00959000)
libQtGui.so.4 => /usr/lib/i386-linux-gnu/libQtGui.so.4 (0x1ab5a000)
libQtNetwork.so.4 => /usr/lib/i386-linux-gnu/libQtNetwork.so.4 (0x002b1000)
libQtCore.so.4 => /usr/lib/i386-linux-gnu/libQtCore.so.4 (0x00a19000)
libpthread.so.0 => /lib/i386-linux-gnu/libpthread.so.0 (0x00855000)
libstdc++.so.6 => /usr/lib/i386-linux-gnu/libstdc++.so.6 (0x003ed000)
libm.so.6 => /lib/i386-linux-gnu/libm.so.6 (0x00897000)
libgcc_s.so.1 => /lib/i386-linux-gnu/libgcc_s.so.1 (0x004d8000)
libc.so.6 => /lib/i386-linux-gnu/libc.so.6 (0x00d46000)
libxcb.so.1 => /usr/lib/i386-linux-gnu/libxcb.so.1 (0x004f6000)
libdl.so.2 => /lib/i386-linux-gnu/libdl.so.2 (0x00515000)
libXext.so.6 => /usr/lib/i386-linux-gnu/libXext.so.6 (0x0051a000)
libvorbis.so.0 => /usr/lib/i386-linux-gnu/libvorbis.so.0 (0x005cf000)
libogg.so.0 => /usr/lib/i386-linux-gnu/libogg.so.0 (0x0052d000)
libsqlite3.so.0 => /usr/lib/i386-linux-gnu/libsqlite3.so.0 (0x005fa000)
libXrender.so.1 => /usr/lib/i386-linux-gnu/libXrender.so.1 (0x007d4000)
libgstapp-0.10.so.0 => /usr/lib/libgstapp-0.10.so.0 (0x00535000)
libgstinterfaces-0.10.so.0 => /usr/lib/libgstinterfaces-0.10.so.0 (0x00542000)
libgstpbutils-0.10.so.0 => /usr/lib/libgstpbutils-0.10.so.0 (0x0069c000)
libgstvideo-0.10.so.0 => /usr/lib/libgstvideo-0.10.so.0 (0x006bc000)
libgstbase-0.10.so.0 => /usr/lib/libgstbase-0.10.so.0 (0x006c9000)
libgstreamer-0.10.so.0 => /usr/lib/libgstreamer-0.10.so.0 (0x1cbe5000)
libgobject-2.0.so.0 => /usr/lib/i386-linux-gnu/libgobject-2.0.so.0 (0x00722000)
libglib-2.0.so.0 => /lib/i386-linux-gnu/libglib-2.0.so.0 (0x1cf96000)
libpulse.so.0 => /usr/lib/i386-linux-gnu/libpulse.so.0 (0x00771000)
libpulse-mainloop-glib.so.0 => /usr/lib/i386-linux-gnu/libpulse-mainloop-glib.so.0 (0x00558000)
libQtDBus.so.4 => /usr/lib/i386-linux-gnu/libQtDBus.so.4 (0x008c1000)
libfontconfig.so.1 => /usr/lib/i386-linux-gnu/libfontconfig.so.1 (0x007df000)
libaudio.so.2 => /usr/lib/i386-linux-gnu/libaudio.so.2 (0x00814000)
libpng12.so.0 => /lib/i386-linux-gnu/libpng12.so.0 (0x0099a000)
libfreetype.so.6 => /usr/lib/i386-linux-gnu/libfreetype.so.6 (0x1c3dd000)
libSM.so.6 => /usr/lib/i386-linux-gnu/libSM.so.6 (0x007bf000)
libICE.so.6 => /usr/lib/i386-linux-gnu/libICE.so.6 (0x00870000)
libXi.so.6 => /usr/lib/i386-linux-gnu/libXi.so.6 (0x0093b000)
libgthread-2.0.so.0 => /usr/lib/i386-linux-gnu/libgthread-2.0.so.0 (0x007c8000)
librt.so.1 => /lib/i386-linux-gnu/librt.so.1 (0x0088a000)
/lib/ld-linux.so.2 (0x00834000)
libXau.so.6 => /usr/lib/i386-linux-gnu/libXau.so.6 (0x0055e000)
libXdmcp.so.6 => /usr/lib/i386-linux-gnu/libXdmcp.so.6 (0x0094b000)
libgmodule-2.0.so.0 => /usr/lib/i386-linux-gnu/libgmodule-2.0.so.0 (0x007ce000)
libxml2.so.2 => /usr/lib/libxml2.so.2 (0x0269d000)
libffi.so.6 => /usr/lib/i386-linux-gnu/libffi.so.6 (0x00952000)
libpcre.so.3 => /lib/i386-linux-gnu/libpcre.so.3 (0x009c4000)
libjson.so.0 => /usr/lib/i386-linux-gnu/libjson.so.0 (0x00cba000)
libpulsecommon-1.0.so => /usr/lib/i386-linux-gnu/libpulsecommon-1.0.so (0x00cc2000)
libdbus-1.so.3 => /lib/i386-linux-gnu/libdbus-1.so.3 (0x00ee6000)
libexpat.so.1 => /lib/i386-linux-gnu/libexpat.so.1 (0x1271a000)
libXt.so.6 => /usr/lib/i386-linux-gnu/libXt.so.6 (0x1bcc4000)
libuuid.so.1 => /lib/i386-linux-gnu/libuuid.so.1 (0x0082e000)
libwrap.so.0 => /lib/i386-linux-gnu/libwrap.so.0 (0x00d27000)
libsndfile.so.1 => /usr/lib/i386-linux-gnu/libsndfile.so.1 (0x19d2b000)
libasyncns.so.0 => /usr/lib/i386-linux-gnu/libasyncns.so.0 (0x00d31000)
libnsl.so.1 => /lib/i386-linux-gnu/libnsl.so.1 (0x08f93000)
libFLAC.so.8 => /usr/lib/i386-linux-gnu/libFLAC.so.8 (0x027ea000)
libvorbisenc.so.2 => /usr/lib/i386-linux-gnu/libvorbisenc.so.2 (0x02e5b000)
libresolv.so.2 => /lib/i386-linux-gnu/libresolv.so.2 (0x00ec4000)
Then you can have a mixed of both options or check on google for other ways to create portable linux apps. I have found this link that covers several solutions:
http://hacktolive.org/wiki/Methods_for_ ... s_on_LinuxCreating a 100% standalone portable app that work on all Linux systems from a pen drive might be an impossible task.
Hope this makes any sense,
Chulai