This is a good question, and the short answer is: NO! Any wax finished product (from whatever manufacturer) should be protected from contact with water. This is because waxes are not waterproof. They may be water resistant for a few seconds, but it is always best to avoid water contact completely.
You have a little more grace with pieces finished with a drying oil like our Food and Toy Safe Danish Oil. But even then (to prolong the life of the piece) it is best to limit contact with water to a minimum. If you really need to, then use the tiniest amount of water and a very mild detergent then dry immediately after cleaning.