If your home computer is on the same WiFi network, they certainly could, and it wouldn't be terribly difficult, either. If you have only one access point, then you should set it up with two separate networks (or have a technician do the same) that "do not speak to one another" and that each have their own passwords as a bare minimum.
And it does not matter if your physical connection to your router is wired if the network being used is the same one that is used for WiFi (and it typically is).
WiFi does not, however, span continents. You have to be close enough to a wireless access point to have a signal in order to be able to connect to it.
I would never, in a million years, either give someone I do not know and know well physical access to my router via wired connection, or a WiFi connection to the same network as my own computers are on. There are some who are far more anal retentive than I who would not even consider having two separate WiFi networks on the same router with one being used by those not known to them. But that degree of security is more than enough for me, as I do not believe that the majority of people who might use a guest network are hackers who could even figure out that there's another network (and if they can, you're already in big trouble anyway).
I believe in taking security seriously, but also in placing primary concern on preventing reasonably possible attacks/intrusions. There are myriad remotely possible attacks/intrusions that are about as probable "in real life" as I am to be able to fly to the moon under the power of my own arms.
But even the modem-routers that have been supplied by internet service providers (ISPs) have had the capability of having separate networks created on them for some years now. It's not the simplest thing for the uninitiated to do, and it took some fiddling before I eventually got everything right, but there are lots of tutorials out there that show step-by-step, how to do this. Now, mind you, there is a maximum number (typically 255) number of devices that can be connected to any access point, and if you set up split networks this makes each network only have the possibility of having 127 connected to each. But when was the last time most of us at home ever came close to having either one of those numbers of devices connected at one time?
Dual-band has to do with how the WiFi itself broadcasts, on the 2.4 and 5 GHz frequency spectrums. It has nothing to do with the network configuration on a given router or modem-router.
Someone else who has that same router may already be familiar with setting it up with separate networks, but I'm not. And one final note, and that doesn't matter what router you may be using, do NOT use WPS (pushbutton) connections. They are well-known to be a security risk. Make sure the devices you connect have connected via the good, old-fashioned entry of a password to connect via WPA-PSK protocol.