Yes
Our reply depends on how big the scope of our vision is, or who we're comparing ourselves to.
Does beginner mean first shots at the range?
OR
In comparison to how good *you will be* in a few years, do you feel like you're still early in your journey?
Can a greater understanding make you a "better" shooter even if your eyes aren't what they used to be? How about even if group size is the same after all these years can someone be "better" or "worse"?
Can you be an advanced handgunner if you've never tried: competing, defensive shooting/training, single action/cowboy, bullseye, effectively teaching others?
Is this a classic case of: the more you know, the more you don't?
Practically: while our personal statements may place ourselves "lower" as we'd all like to improve, at some point - say signing up for classes we'd have to choose between categories based on class content. For example: if you can safely handle firearms, have had prior instruction, apply fundamentals consistently, consistent group sizes with slow and timed fire but have not had a chance to say - shoot on the move - I would say consider an intermediate class at some point as a group setting beginner class may start from the *very* beginning and depending on content may stop short of pushing limits.