Actually, I think it all depends on what you mean by "full power".
If you mean a full-powered penetrating strike (karate style) with no control at all, I find it difficult to believe that one might reach such mastery as not to get ANY of that power bouncing back in your body and dissipating there with nasty results - even if you can get some
of it to be redirected into the ground.
However, I know for a fact that it's possible to deliver a pretty powerful but highly controlled strike and pull it back so fast that the energy delivered isn't given a chance to bounce back into the weapon used, so that it just dissipates itself entirely inside the target and causes all its damage there (which wouldn't be much in the case of a brick wall, but that's not the point). Of course, the less "give" in the target, the harder to pull off this neat little feat. It definitely wouldn't be easy on a solid wall, but not impossible either, I reckon.
I've been experimenting on this principle using a hammer, but I definitely don't trust my ability to produce that phenomenon with consistency enough yet to try it with natural weapons (my piano and flutes still need some of those sometimes, and I'd hate to deprive them of company...