What is your purpose? Epoxy is usually used for one of three reasons.
1) Hide or tamper-proof the design, keep it from being as quickly reverse engineered or modified.
2) Ruggedize it in cases of extreme vibration, moisture, or other contamination.
3) Electrical isolation with high voltages, where even if something breaks, odds are there is no path for HV shorts.
Epoxy can also provide thermal relief, but must be loaded with a thermally conductive solid to achieve this, one that isn't highly electrically conductive relative to the voltages and sensitivities of the components it's used on, and this is really expensive and never a transparent epoxy which I suspect you want. Even so, for chips that can stay cool enough from no airflow and just PCB heatsinking, it can work thermally, but for chips that depend on PCB airflow across them, like mosfets on motherboards that don't have heatsinks, it depends on how much power they're supplying and the design, whether they operate within thermal limits for long life, and don't degrade the epoxy surrounding them.
Which of these is your goal, or is it just a novelty thing to do? Are you talking about just a thick coating, or a deep immersion except the parts you mentioned? A deep immersion is an expensive thing to do for the amount of epoxy needed unless this is a very small system, or far smaller still like a Pi.
If you're talking about near optically clear epoxy so it looks like a block of glass with stuff inside of it, I suspect that the novelty will wear off then months later you'll be thinking "why the heck did I do that, now wish I didn't".
Further, you may find it very difficult to get all the bubbles out because of the larger # of chips, the hollow card slots, space under the CPU, etc. For this reason it might even be more desirable (if you do it at all) to first put a bead of fast set epoxy around anything that could get air trapped under it, then make sure the system still works 100%, before doing a final fill with the bulk slower setting epoxy.
So to more directly answer your questions, is it possible? Yes. Will it turn out looking as good as a smaller simpler Pi? Probably not. Is it practical? See above. It'll also weigh a ton so I'd put some plates into the epoxy that you can tap out later to add casters to, to help roll it around when it needs moved, again depending on the size of it.
Even though it is extra expense, I would first evolve your method using an old, low value system as a trial run if you're attempting to build a showpiece that you don't mind looking at often.