From what I recall, hares and jackrabbits cannot as they are in a different subspecies. Wild rabbits can be a domestic rabbit that was set free in the wild, so you might want to be careful with that distinction. If a "wild" and a domestic rabbit meet and are genetically compatible it can happen depending on the physiological properties of each and if they are similar. Think of it this way, a very large animal has a tough time breeding with a smaller one and vice-vera if they were to actually meet and stay together.
I’m going to do a bit more research and see what I can dig up. Any geneticists out there?
Here is what I found so far:
Here is the web page where it states it (I am trying to find a more scientific reference):
http://www.petworldstore.com/facts/smallanimals_rabbitsabout.html
And the paragraph:
"Another interesting error in the history of rabbits is that rabbits were originally classified as rodents because of their small size and prominent buck teeth. But both hares and rabbits are classified into a class of creatures called the Lagomorphs. Hares and rabbits are different subspecies of the same family, kind of like how orangutans and gorillas are different subspecies of the ape family. Although in the same family, hares and rabbits are so very different in their appearance and behavioral traits that they cannot produce offspring together. After we take a brief look at the fascinating differences between hares and rabbits, we will be focusing on rabbits and especially domestic rabbits that many of you see at Easter and in your local pet store year-round."1
Here is a reference for the actual scientific classification:
http://encarta.msn.com/encyclopedia_761568905_2/Rabbits_and_Hares.html
"Scientific classification: Rabbits and hares belong to the family Leporidae of the order Lagomorpha. Cottontails are classified in the genus Sylvilagus. The snowshoe rabbit is classified as Lepus americanus, the black-tailed jackrabbit as Lepus californicus, and the wild rabbit of Europe and Africa as Oryctolagus cuniculus."2
Here is an interesting read and lends evidence that it can happen:
http://books.google.com/books?id=ZUcKwPQNXWEC&pg=PA184&lpg=PA184&dq=can+wild+and+domestic+rabbits+mate&source=web&ots=exy25bXDU7&sig=iMgJyA15bJuCmUY0GonVdPVy1mM#PPA185,M1
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2"Rabbits and Hares," Microsoft® Encarta® Online Encyclopedia 2007
http://encarta.msn.com © 1997-2007 Microsoft Corporation. All Rights Reserved.