I don't think so.
The EMP bomb is one that is simple in theory ("set off explosives inside of a charged coil"), but hard to pull off in practice.
The coil has to be massively charged moments before detonation (not a low tech-task), and the shockwave of the explosion has to travel from one end of the coil to the other at exactly the same speed that the magnetic field collapses across the coil (even harder).
This is not something you could whip up in a high school science lab, or even most university EE departments.
Furthermore, it's not something you could get right without some trial and error and testing, and I can guarantee that experimental EMP blasts would catch the attention of a lot of monitoring equipment, both government and private.