Can a domestic male rabbit mate with a wild female rabbit?

Yes and no.

Domestic rabbits are the same species as wild European rabbits (Oryctolagus cuniculus, a species native to areas like Spain and Portugal but now also wild in England, Australia, and other places). If given the chance, wild and domestic European rabbits will almost surely breed with one another. It doesn't matter whether the domestic rabbit is male and the wild female, or vice versa: they'll mate anyway.

Aside from the European rabbit, there are many different species of rabbit/hare, and generally speaking, different species don't interbreed. There are people who say that domestic rabbits don't interbreed with wild American rabbits. However, interbreeding between species is possible (wolves, coyotes, and domestic dogs, for instance, can all interbreed and produce fertile offspring)!