As DeltaLima said, it is kind of hard answering your question.
After looking at the question he linked you might have found the answer already.
Let me try to answer your specific question though:
Assuming an airliner, let's say the A320, for some reason got into a spin, can it be recovered? The general answer would be yes!
Here are some things to consider though:
The FAA requires all single-engine normal category aircraft to demonstrate spin recovery in FAR 23.221(2).
It depends a lot on the center of gravity of the airplane whether it is recoverable from a spin or not. If the center of gravity is too far aft, it will not be recoverable from a spin. Gliders, being light, have an easy shiftable CG, and there is some that don't enter spins at all or need extra weights in the back in order to make them spinnable! Airliners are not required to do so as they are not as likely to get into a spin in the first place!
The structure of an airliner is designed for air flowing over it, not for being in a spin! Centrifugal forces will be applied to the structure due to angular acceleration. Also, spins by airliner would be a lot faster then by little aircraft and more forces would be applied to the frame. If the recovery from the spin is made too fast or abrupt, it can overstress the airplane as well!
All Airbus I know are fly-by-wire, and Airbus is well known for its computer based controls. Most airliners have a lot of systems, which prevent them from even getting into a stall. There a incidents where these systems failed and it went back to the pilot doing the right thing.
As a spin always always always requires a stall first, and pilots are trained to avoid stalls in the first place, it is very unlikely for an airliner to enter a spin, having the pilot and various systems working against entering a stall!