is it theoretically possible to make a device or system that collects light particles
No. As massless particles, photons must always move on a lightlike trajectory. In any reference frame in flat spacetime, such trajectories are measured to be straight lines with velocity $c=299\,792\,458$ meters per second. They do not care for electromagnetic fields, or really anything. The only thing that stops them is being absorbed/reflected by a surface, e.g. atoms, and they lose energy in the process. If you fired a photon into a box of mirrors, it would reflect a little bit and then get absorbed or otherwise become undetectable in a short time. If you made the mirror large, that might keep it bouncing around for a few microseconds longer, but then you’d have to account for extinction due to the atmosphere, and you’d want to do it in space.
That being said, LIGO and other high-quality interferometers do a very good job keeping their laser photons alive for a long time. A combination of resonant cavities and a lot of partially-reflective mirrors go into that. I have heard from engineers about it, though I will not claim to fully understand it, and it certainly doesn’t count as a “jar” in the same sense you’re describing where you could just leave it out to “collect” light. LIGO is only good for keeping photons we created alive, and only if they are of a very specific set of frequencies, and only if they have a very precise starting position and direction.
You could also try using a medium where the speed of light is very slow, e.g. much smaller than the size of the collector, but I would guess that “extremely low speed of light in the medium” is in practice synonymous with “opaque, absorbs light”.
In curved spacetime, it is not impossible to get them into a loop of sorts, but you would need very exotic curvature to get them to stop moving entirely for a “jar”, and we can build neither of these things.
Or, if light is a particle, would it dissipate via Hawking radiation and evaporate like a black hole does?
Hawking radiation only applies to black holes, not any hypothetical jars of photons.