Update multiple documents by id set. Mongoose

Most probably yes. And it is called using $in operator in mongodb query for update.

db.Element.update(
   { _id: { $in: ['id1', 'id2', 'id3'] } },
   { $set: { visibility : yourvisibility } },
   {multi: true}
)

All you need is to find how to implement $in in mongoose.