Yes, there is an end credits scene for The Wolverine.
It's not technially a "post-credit" scene as it occurs early on in the credits, even prior to the "mid-credits," so you need not wait for the credits to be totally over.
Regardless, it's there and it's pretty cool.
You can read spoilers about it below as well as what director James Mangold had to say.
The Wolverine ends and then "2 Years Later" is flashed on a screen.
It's Wolverine at an airport going through security. He chooses to get patted down instead of going through the big detectors.
As he does, we see a "Trask Industries" logo and everything starts flashing; Wolverine turns around, and there is Ian McKellan, Magneto, who has him frozen.
He tells Wolverine something is coming that threatens all the mutants.
We notice all the people are frozen as well.
Wolverine says something to the effect that he doesn't trust Magneto, with the Master Of Magenticism responding that he knows, and that's why he brought a friend.
It's Patrick Stewart as "wheels" aka Prof. X. - Wolverine asks how can this be possible, with Prof. X telling him to remember what he said about people having different abilites or powers etc.
So the end credit scene for The Wolverine is a tie in to Bryan Singer's X-Men: Days Of Future Past.
Reagarding the scene, Mangold told DigitalSpy the following:
I had finished the movie and Future Past had started shooting, a couple months ago, and we had been talking about what to do, if anything, in the tail credits of this movie.
It's something I had been talking about with Simon Kinberg (X-Men producer) and Bryan Singer at that point about what we might do to kind of feed into it. My only stipulation that was important to me was just that I really didn't want it to be tongue-in-cheek. I feel like a lot of these bonus things almost make the film into a joke, and that wasn't interesting to me.
I thought it would be more interesting to try and actually do something quite promising, actually say something and promise something and give people a piece of a story.