I'm probably mixing already-discussed-elsewhere topics, but why can't I get some sort of portable charger, charge it up here in my apartment, then plug it into the car? If a portable car charger is plausible, ideally one that you can charge up multiple ways (solar, regular AC), then what is the right one to get for the 2020 Hyundai Ioniq Plug-In Hybrid?
So, to clarify, you're suggesting a secondary battery to charge up in your apartment that also has an inverter that can produce 120V or 240V AC to charge your car. Technically, these portable batteries do exist:
Goal Zero Yeti Lithium 1500X Portable Power Station
However, if you look at the specs, this only has 1.5 kWH of capacity, which is roughly 1/6 the capacity of your PHEV battery. It also weighs an impressive 45 lbs and costs $2,000. So, not a practical solution, unfortunately.
Also, please do not under any circumstances try to make your own 240v charger circuit from two different phases. You are asking for pain. This can be accomplished by a licensed electrician (will likely need to be permitted as well, depending on your local code), but should not be attempted by anybody who is not thoroughly schooled in electrical engineering. You can ruin your car, start a fire, or even possibly electrocute yourself. It's also definitely illegal and if caught you could possibly face legal problems and likely an eviction from your apartment. It's just not worth it.
My suggestion would be to modify your shopping trips / outings / etc. to include charging stops. Often a little bit of planning, and maybe a slightly further walk to where you're going, can end up in being able to charge the car while you do other things, rather than just sit in the car waiting for it to charge. Also, consider the need to charge the battery up to 100%. Would a trip where you netted a 10-20% increase in your battery's SOC be worth it? Maybe so! Then maybe another, similar trip a day or so later? Think of it as charging as you go, rather than charging to 100%, running the battery down and then charging to 100% again. It's a more "EV" style of thinking, rather than an ICE fuel based way of thinking.
Good luck to you!