Though they could have. Limited Run Games does Gameboy cartridges. I'm not sure what kind of tooling they use for it though.
In fact, I'm pretty confident that a competent DIYer could 3D print a cartridge shell, flash a ROM, and etch a PCB in an afternoon or two.
For games more complicated than a simple ROM chip, the Game Boy presents an interesting challenge: the cartridge is both very small and it needs to be able to run off battery power. That excludes using both a high-power-consumption modern SoC or FPGA, or using lots of discrete logic.
But if it'll fit in 32 KB, it's 3D print a case, order a PCB, and program a standard Flash chip.
We've actually come full circle on this one. If you ever disassemble a Nintendo Switch Game Card that has a black area above the metal contacts, it doesn't even have a PCB. It's just a ROM chip, with metal contacts on the bottom shaped differently than your standard BGA pattern, contained in plastic. If it has a green area above the metal contacts, it's a PCB with the chip on the other side.
You can get brand new Atari 2600 cartridges in boxes and everything.
Though, I think the shells are actually scavenged from old games.
Yup, new titles still being made. There's even Halo for the 2600.
Tons of titles currently being manufactured for a lot of vintage consoles/computers: https://atariage.com/store/