I think they do because chameleons eat insects and meal worms are considered to be insects.
JJ- Yes but due to its hard exo-skeleton, it is not recommended. Think of them more of a treat that is given 2-3 Times a week.
What do chameleons eat?
Chameleons are insectivorous and will do quite well with the insects that you should be able to purchase at your local pet store. Most people feed their chameleons a regular diet of crickets, which can usually be bought from wherever you purchased your chameleon in varied sizes. However, if you live in an area where you cannot get insects regularly, they can be ordered on line or by telephone and delivered to you in bulk. It is a good practice to try...