Well,... I want to say yes. So I imagined myself as a bee with a mite or two on me and I fly to an open syrup feeding station, or a frame set out with some honey on it, or a puddle of honey left behind from a extractor. All of us bees would be rubbing up against each other trying to get a share of the offerings. So yah a mite could transfer to another bee.
On the other hand, a single bee can only stay at the feeding place for a short while until they get their fill, then they head back to their hive. So I think the chances are not nearly as possible as mite transfer within the hive.