Yes, the Jackery 500 has DC outputs (both 12v and USB) , and an AC output.
Jackery claims the AC output is "500w Pure-Sine", however given the size and cost of the device, I would be skeptical of the quality of the AC power output if I were going to connect expensive equipment to it. Even if the waveform is good, 500w is a relatively small power output, though it might be enough for a small laptop power supply. (One of the advantages of Chromebooks over PC/MAC laptops is they often have reduced power needs.) However, plugging an AC wall-wart into the Jackery just to charge a laptop is the exact thing I was saying to avoid.
Instead:
If you have a USB-A to USB-C cable that supports higher currents, the Jackery should be able to push 2.4A from the USB ports, which is generally enough for most USB-C devices to charge, though not always super fast. (Our Samsung chromebook likes to see 3.0A for fastest charging, for example.)
The next thing you'll need to learn about is current consumption and "Amp-Hours", which is the measure of how many amps a battery type device can deliver for so many hours. The Jackery 500 is 24AH, so theoretically it could deliver a constant 1A output for 24 hours. (Or 0.5A for 48 hours, etc.) So, to know how long you can run your intended devices, you need to have some idea of how many amps they'll consume. So, on a single charge, 24AH should easily recharge any small portable device many times. OR it could charge something like your chromebook several times (probably less than 10, but I'm guessing based on my own devices). 24AH is not enough to run a fridge for even a single day. (Just trying to put a boundary on it for you.) Note that with devices that have their own batteries, how long you can run is sort of unrelated to what it takes to recharge the device, and whether those devices start charged or empty, etc.
The setup in my van is the "advanced user" version. I have a 100AH AGM house battery connected to secondary fuse panel which then lets me hard-wire a whole mess of stuff, including the fridge, the vehicle lighting, air compressor, water pump, etc. That battery can be charged via the alternator, via solar, and/or via AC shore power, and I'd need 10 minutes and a ruler to draw out the entire circuit diagram if starting from scratch.
The short answer is that I have a set of 12V "cigarette lighter" style sockets in the van that have a variety of DC chargers plugged into them for all the portable stuff like cameras, 2-way radios, and tablets/chromebooks.