Alas no - the OSM UK group talked about it for ages but the “round tuits”* did not arrive, and so it never happened. I run https://map.atownsend.org.uk/maps/map/map.html as an unofficial alternative. In the context of this question that is worth a look because that does make language choices based on location - it uses Welsh names in the Welsh-speaking areas of Wales (see https://map.atownsend.org.uk/maps/map/map.html#zoom=12&lat=51.8816&lon=-5.2397 and Scots Gaelic names in the Northwest of Scotland (see https://map.atownsend.org.uk/maps/map/map.html#zoom=12&lat=57.4047&lon=-6.19)

OsmAnd will try and make use of language data if it’s there and matches the language of the user’s device, I believe. If that is not good enough, it is possible to greatly customise how OsmAnd maps appear - I included OsmAnd in https://www.openstreetmap.org/user/SomeoneElse/diary/391484, which is a list of ways of transforming data to do this sort of thing, for that reason.