No. Chance + selection. VERY important difference.
As for the first replicator, we simply do not yet know how (or even when) that came about, though random chance does seem likely. So I guess if you add enough layers of "built the machine that..." then you do end up with pure randomness (probably). But I would conjecture that there's a lot less "informational distance" between the cosmos and the first replicator than there is between the first replicator and Adam Yedidia.
This was consciously aiming a gun at an explicitly-named remote target, ricocheting the bullet off an unprecedentedly-reasonable number of explicitly-chosen elements, and hitting the target.
Don't let semantics muddy the water about this achievement