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Sure it is! A reputable CS degree will cover multiple programming languages and compiler implementation.Which is neither here, nor there. A reputable CS degree is an all rounder, it's not expertise in PL design and research.
>I don’t think you could study just “compilers”, say, at undergrad level. Maybe you mean postgrad or postdoc-level qualifications?
For starters, yes, but it's not about official qualifications. Someone (e.g. Simon Peyton Jones) could be a PL expert without "official qualification" in the form of such a degree.
Even writing many increasingly successful languages could do it. Starting with your first (or first serious) attempt at a language, however, is not that...
Anders Hejlsberg is another famous example. He didn't complete his university (and it was on Engineering anyway), but after decades of successful work on the field be became a major PL designer and expert.
Stroustrup, however, was hardly anything like that at the time he first designed C++.