Yes, they have two date systems in common use. It’s only the year that changes though. And there’s no way to confuse the two, usually. If you write “2023” instead of “令5” it’s pretty obvious. I suppose there is a potential for confusion if one just writes a two-digit year though.
Interestingly, that’s the exact opposite of how it works on non-touch interfaces. The edges are prime control areas for pointer-driven interfaces.
Slight challenge to optimise a UX for both.