siddonair wrote:
I included the last two pictures as there was nowhere in Base OS X that I could find that would allow me to boot from a USB, as the drive was not showing up in the boot options but was showing in the disk utility.
This means the physical drive is seen as shown in the first picture. The fact you don't see any bootable volumes on the Apple boot picker menu when Option Booting means there is no bootable OS on that drive even though it appears there is some sort of residual or partial copy of the macOS installer on the internal drive.
My guess is that the internal hard drive is failing.
This is the only Apple device I have, so I used Transmac to create a High Sierra installer on a USB drive.
While that may have worked years ago, I have not seen any recent success stories with that method.
I have tried to boot into the network installer using Cmd+Opt+R but it does not seem to do anything different to a normal boot without pressing any keys.
It should try booting to the online installer. So when you use Command + Option + R you are not even able to access the online High Sierra installer as shown in your first picture? How did you boot for that first picture?
If you are connected using an Ethernet cable or your WiFi credentials have been stored in the NVRAM (aka PRAM) then you may not be prompted for authenticating to the WiFi. You should be able to boot to Internet Recovery Mode or at least get some kind of error message if it fails. Are you connecting with an Ethernet Cable or over WiFi?
Did you try using a wired USB keyboard to make sure the key sequence is accepted? Sometimes a wireless keyboard may not work. Also the timing to press those keys can be critical. It is best to press them immediately after hearing the startup chime. Holding them before the startup chime may cause the keys not be registered. Pressing them too late will result in the same.
What version of macOS was installed on this computer previously?
Would this mean that the only option I have left is to remove the hard drive and transfer in the OS installer files externally?
Except you don't have the installer files or at least ones we can rely on and you would still need access to another Mac to do so anyway. Unfortunately Apple makes acquiring macOS installers & creating bootable maOS USB installers very difficult. Apple assumes everyone has a working Mac, or if you have a broken Mac that you have access to another compatible Mac to download & create a bootable USB installer.
Try an SMC Reset and a PRAM Reset (hold the PRAM Reset for at least three chimes) to see if that makes any difference booting into Internet Recovery Mode using Command + Option + R.
At this point your only boot options are to try to access the macOS 12.x online installer through Internet Recovery Mode (Command + Option + R) or by using a bootable macOS USB installer created using the official Apple instructions. Anything else will just lead to more confusion & frustration. If you don't know anyone else with a compatible Mac, then see if an Apple Store or an Apple Authorized Service Provider can assist you in creating a bootable macOS USB installer.
What was going on with this iMac prior to losing the OS on the drive? That may be relevant as well to the current situation.