Not really. And not in Russian anyway since the communist revolution destoyed the class system and hence and associations between surnames and class (if such associations existed).
In any case, this sentence could be meaningful in some contexts but its precise meaning will depend on the context: E.g. I could say something like that spotting an interesting last name or perhaps a last name I would associate with (probably pre-revolutionary) Russian history. A rabid Russian natioanlist may say that to contrast a Russian last name with a Jewish or Muslim-sounding last name etc. You could also say that jokingly while faced with a funny-sounding name akin to "Blewitt" in English (a real name!).
In any case, it will all depend on the context.