There is currently not a cure for Fragile X syndrome, even though research is being put into finding one. We do not know how close we are to finding a cure right now. Hopefully a cure will be found soon.
Sources:
Fragile X Syndrome. 1 University of Michigan. 8 Mar. 2009 http://www.med.umich.edu/1libr/yourchild/fragilex.htm.