Domestic rabbits cannot breed with North American wild rabbits (if by "breed" you mean "produce viable offspring."). A lot of people claim that they can, but if it is true, why isn't there any scientific evidence to back it up? There are a couple of breeds of domestic rabbit that some people claim are part Cottontail or some such, but there are some issues (like different chromosome numbers) that make it impossible. But since the domestic rabbit is descended from the European wild rabbit, if there are wild or feral rabbits of that species in the area, they certainly can breed to them.
Of course it is possible for a doe to breed with more than one buck and for a litter to have more than one sire. Some people have had problems writing pedigrees when they tried to breed a doe to one buck, they thought she refused him, they bred her to another buck, and the resulting litter has babies that look like the first buck . . .
Your baby looks like it has a Rex coat. That only happens if both parents have a gene for the Rex coat. A Netherland Dwarf doesn't have Rex genes; does anybody have, say, a Mini Rex?