A machine shop will be able to produce the prototype metal parts, but they normally don't deal with wood. That will usually require another vendor, although you might find a prototyping shop that works with both materials. The actual mass-production will typically be done by someone else. It's not a good idea to trust an adhesive of any kind to hold these materials together, especially if they will be put in a dishwasher; you'll notice that most of your examples are held together with rivets. Wood does not fare well in dishwashers; if that's contemplated then impregnating the wood parts with a heat and moisture resistant polymer would be advisable. You'll also want to use stainless steel for the metal components, since regular steel will rust if treated that way.