Happens all the time, particularly at high weights and altitude. It's a great plane but the FBW does not "prevent" the aircraft from being placed in aerodynamically undesirable situations it simply mitigates the likelihood.
As a bit of a segue on a related issue: the following incident indicated what occurs when an A319 is incredulously placed in to config full with gear down for the interception of a glideslope from 2100 feet at full flap in typhoon conditions.
The flight control protections on the Airbus are awesome but they're not able to defy the laws of physics:
Highlights: 3900 fpm in the wrong direction, stalled (74 knots) Commenced climb out after reaching 884 AGL at night in IMC and well below the glideslope.
http://www.google.com.au/url?sa=t&rc...82001339,d.dGY