Can you put ceramic coatings on chrome?
Quick answer: Yes. Ceramic coatings bond well to chrome and most brightwork, slowing corrosion and keeping the finish cleaner with less polishing effort.
You can coat most metal, chrome included, and we normally recommend it. The coating helps keep the finish clean, slows corrosion, and cuts the amount of polishing you have to do.
There is very little real chrome on modern cars. Much of the shiny work is polished aluminium with a lacquer, plastic trim with a bright metallic finish, metal foil, or stainless steel. A ceramic coating will work on all of them, and on older cars that still wear genuine plated chrome.
The important bit: a coating protects whatever chrome you have. It does not repair pitting, peeling or rust that has already set in.
Not everything that looks like chrome is the same material underneath. Traditional plated chrome is metal parts with copper/nickel/chrome layers on top, common on older cars and motorbikes. Chromed plastic trims are badges, grilles and trims that are plastic with a bright metallic finish. Polished stainless or alloy covers exhaust tips and chrome-look parts that are actually polished metal with no plating. And diamond-cut wheels with bright faces are lacquered bare metal that can look very similar to chrome when new. A sensible installer will identify which type you have, as that affects preparation and the choice of coating.
For the broader "why have ceramic paint protection" answer, see What are the benefits of a ceramic coating?.