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Absolutely -- please see
http://Help.KVSTool.com/#Classes for details.
What you have probably found is that BA.com is not very good for finding OneWorld award availability. If you see AA award availability via KVS Tool, you
will be able to book those seats by calling BA (even if they are not shown on BA.com).
Are you certain of this?
In the past I've looked up flights with award seat availability on AA.com and noticed availability, when I've called in to ask about it I was told that yes, there is availability for people with AA points, all those seats were not available for BA point members and that BA's allotment was in fact all used up for that particular flight.