Nope. And though it's possible to buy an adapter, you lose autofocus, etc. This is true no matter which DSLR you have, including the Canon and Nikon ones.
But Sigma, Tamron and Tokina have lenses for the Sony / minolta mount. And you can use all the old minolta AF lenses.
See here for a fairly good list of lenses compatible with the Sony Alpha cams:
http://www.dyxum.com/lenses/index.asp