> molten thermoplasticUnless there are products I'm not aware of, mostly thermo plastics require high pressure injection that isn't feasible for a hobbyist setup.
> a not-yet-polymerized resin
There are lots of products like this (a bewildering variety, really), but in general they aren't particularly convenient to use, and you'll have a lot of failures. Factors that can mess you up include temperature, humidity, air bubbles (so many air bubbles!), mixing ratios, over mixing, under mixing, contaminates on the mold surfaces or your mixing containers, pour holes too small, not enough exit holes, entry/exit holes in the wrong places, molds held together too loosely leading to leaks, too tightly leading to distortions, etc.
Except for the possible exception of relatively simple shapes and small items (like dice), just about everything you can imagine going wrong will, and you'll end up with a lot of waste before you get something you can use, and disposing of the failed attempts responsibly is another challenge.
There is a caveat though: if you're trying to make a soft part (whether in a hard or soft mold), the materials are generally a lot more forgiving of errors, but that's tangential to the challenge of making a case.