I suppose it's possible to have a version of cat that offers line-editing, but I'm not aware of one (nor do I think it's a particularly good idea to make one, "unix philosophy" and all that). Slap it into an rlwrap, maybe ;)
Actually, I'm confused on how the kernel knows to associate keyboard input with any particular file at all. If we have several terminals open, then presumably there are several ttys to which keyboard events could eventually propogate to. There's gotta be some way to mark which file a line buffer writes to.
If you're running a graphical environment, it doesn't: the kernel hands the keypress events to X or to Wayland, and they are then responsible for multiplexing them (X uses the focus capabilities in Xlib; I haven't poked around much with Wayland but it must do something similar).
If you're on the console in Linux, there's a set of ioctls[1] that control how the kernel multiplexes virtual terminals. These can be set by the userland utility chvt. (Other Unixes do this differently; e.g. NetBSD and OpenBSD make a wsconsole abstract device with syscalls to associate it with a given TTY.)
1: https://linux.die.net/man/4/console_ioctl (scroll down to VT_ACTIVATE for the relevant parts)