Negative. Coyotes are not wolves. There are genetic differences, obvious morphology differences, and behavioral differences. And they rarely interbreed, but they are capable of doing so.
Coyote are not are not wolves are not Shelties are not Beagles. And the genetic differences are a result of genetic reduction, ie Shelties lack the genes to breed Beagle-like (morphologically) offspring but they are all the same ‘species’ genetically. Taxonomy is not an exact science.