Yes,
230ies (W113) always had the Goose neck mirrors -
unless your car was initially delivered to a country without the legislative need requirement to have outer rearview mirrors (e.g. UK or France back then).
In such a case any factory or aftermarket mirror could have been used later on (e.g. during the 1970ies) when rearview mirrors became mandatory.
Goose neck mirrors can be purchased new from MB (pricey) or as reproductions. You should not pay more than about $$ 75 - 85 for a new repro.
Best,
Achim
(with used goose neck originals)