Borek is wrong, to the point of ridiculousosity. (yeah, I made that word up) Of course there are particles of ionic, as well as covalent compounds. One term for it is "dust". Anyone living by the ocean is aware that salt spray can deposit fine particles (crystals) of salt. (Which is another, more common, term for them).(Not saying they're pure or anything.)
The crystals or particles themselves will be almost electrically neutral...I say "almost" because friction and particle impacts can dislodge electrons (temporarily) and create charge (so can ionizing radiation, if you want a stretch). But let's ignore that effect.
So, what we have is a material composed of positive charge centers and negative charge centers (anions and cations). Any charge separation creates what we call an electric dipole, which is an electric field. Cut to the chase and the charge separation will on average create an attractive force between particles, BUT the strength of this force is miniscule for any particle that you can see. That is, its only important for distances on the order of the size of small molecules. So, yeah you can have attractive forces, but unless the two surfaces are very close together, the + and - charges interior to them 'average out' and result in virtually no net force. IOW yes but only if the two particles are very very close to one another. Look up Intermolecular Forces, London Forces, or Dispersion Forces on wikipedia. (but note that those explanations tend to ignore the effect between ionic crystals, you have to read in between the lines.)
There's lots that's been written with regard to the formation of the Solar System and the tendency of small particles to form large particles, the dipole forces are one of the considerations in building models of how the Solar System developed. It has lots of other applications, too.