The answer is no, it will not work. You would need a fairly large piece of metal to have what the antenna is looking for to be resonant, and even still loaded mobile whips are always a trade off between size, effective pattern, and SWR. About groundplanes;
From the Advanced Specialties website;
WHAT IS A "GROUNDPLANE" & WHAT ABOUT ANTENNAS FOR FIBERGLASS OR NON METALLIC SITUATIONS?
A - Most mobile Vehicle antennas are actually "half" of the antenna, the other "half" is the body of the car or truck, which is connected to the shield ground side of the coax cable. This "other half" is also known as the Ground Plane of the antenna. If the Groundplane isn't adequate or large enough, poor SWR readings &/or performance will result. There are special "No Ground Needed" antennas designed for Boats, Fiberglass Door Trucks ect. Some of these antennas require a special included cable that can't be cut or replaced, others can be used with any cable. If a regular CB Antenna is mounted fairly close to, but not on, the vehicles ground, such as on a truck's fiberglass door, sometimes running a thick ground wire from one of the mounting bracket's bolts, to a good chassis ground, May sometimes work, & allow the use of "standard" mobile CB antennas in these situations.
To help you understand what kind of antenna your radio would like to see, take a moment to read these;
http://www.signalengineering.com/ultimate/antenna_basics.html
http://www.signalengineering.com/ultimate/mobile_antennas.html
then, if your apartment situation allows, try to build one of the verticals they describe. If you have to use something stealthy (or indoors only) there might be some ideas you can turn up with a Google search.