Hi All,
As Scott, Bruce, Anatoly have said, it is certainly possible to map certain crystallographic distortions to local structure, and so predict the effect on EXAFS, and model EXAFS in terms of those distortions.
But to be clear for the original question, EXAFS is inherently a local structure probe and is not actually sensitive to crystallographic parameters. That is, one *must* make the mapping from crystlalographic parameters to local structure, often making important assumptions (such as "there is a crystal structure" and "I know what the space group is") that EXAFS is not actually able to deny or confirm.