Most things end up being possible.
A large source of confusion is what a 'field' is in physics, and what it is in sci-fi.
In sci-fi, it's more of a shield.
In physics, it's a concept used when thinking about things that are spread over a volume of space. For example, your radiator has a field around it -- a temperature field. Nearer to it, the field is warmer than where it is farther away. There isn't a precise are where the field is, to block things.
In other areas of physics, like electrodynamics, there is such thing as the force, due to a magnetic or electric field (the Lorentz force, for example). This has the concept associated with it of a 'force field'.