It's unlikely, modern coatings are very hard and you'd easily spot damage it there was any.
It's not a modern camera eek! It's an Olympus RC 35 with a fixed 2.8 Zuiko lens, thanks!
is this the case with older lenses too? this particular camera is from 1970!
When it comes to lenses, methinks that you may have different definitions in mind for terms like "modern" and "older" than Ian does (or I do, for that matter).

When some of us talk about things being old, photographically speaking, there are often references to things like World Wars, and not always the second one
.
But do put the filter on, preferably a multicoated one.
Carl zeiss Jena 4cm F1.4 Biotar