If you have everything you need backed up you can reinstall on a new hard drive and restore everything you need. So you should not be completely fucked. Just an inconvenience you might have to go through. You will lose the stuff not backed up so if any of that is a pain to get again it might be more painful to restore everything.
Others have said some thing you might want to try. But having a spare disk you can swap to is never a bad idea. Disks to fail and you should plan for what to do when they do. Backing up your data is a good first step.
I would say it is not a bad idea to just get a new disk now and go through the process of restoring everything anyway - you can treat it like your disk has failed and do what you would need to do to restore. With the ability to swap back when you need to.
This is a good way to find things you might have missed in your backups.
This isn’t true? The Linux kernel has a lot of drivers in the kernel source tree. But not all of them. Notably NVIDIA drivers have not been included before. And even for the included drivers they may or may not be compiled into the kernel. They can and generally are compiled with the kernel but as separate libraries that are loaded at runtime. These days few drivers are compiled in and most are dynamically loaded depending on what hardware is present on the system. Distros can opt to split these drives up into different packages that you may or may not have installed - which is common for less common hardware.
Though with the way most distros ship drivers they don’t tend to spontaneously stop working. Well, with the exception of Arch Linux which deletes the old kernel and modules during an upgrade which means the current running kernel cannot find its drivers and stops dynamically loading them - which often results in hotplug devices like USB to stop working if you try to plug them in again after the drivers get unloaded (and need a reboot to fix as that boots into the latest kernel that has its drivers present).