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To expand on what Clifford said, a big problem with a beam of electrons is that its very hard to get it to go where you want. Electrons repel each other, so keeping them bunched together in a beam is tough: you can use magnets to do so, but then you'd have to have a chain of magnets lined up all the way to the bullet. Electrons also interact strongly with air, so if you send it through the air, the beam will lose tons of electrons to the air. The other problem is that there's no reason to use electrons when it would be easier to shoot a high powered laser beam at the bullet to melt it. This is also beyond our current technology (at least for fast moving bullets that are far away), but its still far more practical than using electrons.
Electrons moving at almost the speed of light create a near-impenetrable electric field that will change the course of any charged object (like the electrons in a bullet).Surrounding yourself by a source of such relativistic electrons would provide a good shield against bullets - the hardest part is manipulating the location and path of these high-speed charged particles.Silicon dioxide is a good, cheap source of electrons, which are conveniently localised within the covalent bonds of the SiO2 molecule for easy transport. SiO2 can be easily obtained from open-cut mines on beaches or deserts.Bullets, whether conducting, insulators, magnetic or superconductors, on close approach to the SiO2 are affected by intense electric fields, diverting and slowing their flight. By Newton's law, the SiO2 feels an equal and opposite force, so it needs to be anchored in some way. Fortunately, more SiO2 is able to fulfill this function.To keep the silicon dioxide grains where you want them, ready for use on any incoming bullets, you can pack them in economical hessian sacks, and stack them near the vital target that you wish to protect.Unfortunately, the relativistic electric field generator tends to be rather heavy, so it's best used on fixed installations, rather than for portable applications. But I think this could produce one of the cheapest and most effective bulletproof shields: the sandbag.
One way is to fire a high powered laser first, which ionizes the air, for example: http://iopscience.iop.org/1367-2630/4/1/361/fulltext/You'd still have the problem that Clifford mentioned that the bullet isn't grounded, so its not clear that it would be easy to get the current to flow to it. Plus, if you're firing a high powered laser at the bullet, you might as well just melt it with the laser.
Are you asking about whether its practical or whether its possible, Voxx? It's theoretically possible to build a "lightning gun." But it's impractical and will probably never get built in reality, since there are other alternatives (conventional projectiles, lasers) which are much easier to build and control.
Well the problem with science fiction on a science forum is that we can answer what is possible with science, but anything is possible with fiction. A lightning bolt can travel along an ionized path in the air. If you somehow ionized a path to a projectile then to the ground, you could fire a lightning bolt along it. The damage to the projectile would depend on the material it was made of. A person being able to do that is pure fiction, since there is no scientific way for a person to generate and control electrons or ionize paths through the air at will.