Glueballs are theoretically possible at this point. Quarks are, well, quarks, and gluons stick them together. Quarks have a colour charge (RGB) as well as electric charge (+/-). All particles in nature are inherently colourless (either red-antired (same with blue, and green) mesons of two quarks or a red quark, blue quark, and green quark bound together to make a white particle). Gluons also carry colour, one unit of colour and one of anti-colour (like a red-antiblue gluon), and that is why you never see them bare... However, because gluons are attracted to colour charge, and carry colour themselves, they can stick to one another. A possible glueball would be one red-antiblue coupled to a blue-antired, giving a net colourless charge.
These particles would be electrically neutral and probably massive (gluons themselves are massless, but the energy contained in their binding would give a glueball mass).