Bloodworms are the larvae of a tiny midge and would be quite difficult to produce for an ordinary person. They would need special and costly facilities to breed.
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Yes, you can cross breed chickens and most of the time, we can't stop ours from cross breeding anyway as they all run around as a flock. The results mean they will not sell for very much but some can...
Its possible you could, with alot of hard work over many generations, but any pups born would suffer from many problems, caused by the clashing of genes and DNA.