It would depend on the failure that threw you into Alternate Law in the first place. The QRH would tell you what protections are still available and so forth.
To me, though, the bigger picture issue here is this: when you see those amber Xs on the PFD and that ALTERNATE LAW ECAM message, the airplane is trying to tell you "look, don't do anything stupid because I may not be able to bail you out." My point is you shouldn't get yourself anywhere near a condition where you might need those speed stabilities.