As Doc says there is always a chance, but I'd say it was a VERY slim chance. We just bought an OKW resale (already had BWV points) for just that reason. We have an extended family that we intend to take to WDW every 2nd or 3rd year and we wanted to make sure that we would have a 11 month window for a GV. They are tough to get. During Spring Break I would say they would be extremely hard to come by.
If you know anyone who has OKW points, you might ask them to make a ressie for you in the 11 month window and then return the favor wherever you have points. If you are not a member you might try and arrange a rental from a OKW owner - start early.
JMHO