Protons/ electrons have the same +/- charge, so they would tend to push apart with great force. Sticking neutrons wouldn't really work, because they are not stable and would decay into protons (at least some of them) and push apart again.
Then there is this thing with the size of "subatomic" particles - the sheer amount of particles and whatever bounding particles required would make that "piece of something" weigh ... i don't know the exact values, but it would be insanely heavy. Remember: vacuum actually takes most space in a atom, if the nuclei would be the size of a basketball then the electron around it would be kilometers away, that's how small a proton, electron, others are. (ofc., the proton is part of the nuclei, but nuclei of larger atoms are just more balls together and the size is still insignificant - compare few more or less centimeters with kilometers)
Then one could push the system together using magnetic fields, but it wouldn't really be a material, it would be plasma like.
The title of this thread suggests that you are thinking about a star trek-like force-field. The system required to keep the particles in place would itself act like a shield and there would be no need for the particles.
Everything is possible thou... ;)
)) if everything is possible then life is a game so i could bring in real a car from NFS with cheat codes included ?