Can it be done???
Yes
He will honor his words; he will definitely carry out his actions. What he promises he will fulfill. He does not care about his bodily self, putting his life and death aside to come forward for another's troubled besiegement. He does not boast about his ability, or shamelessly extol his own virtues. - Sima Qian.
WP has excellent recovery. Stone has very good (for tanks) ST damage. Tanks are survivable enough to stand in front of most AVs indefinitely, so really the question is, can you output enough DPS and for long enough? In that regard, WP/Stone is a very good combination for AV soloing. It'll still take a long time, esp compared to scrappers or controllers (or well built blasters/defenders).
An Offensive Guide to Ice Melee
AV solo on a WP/Stone/earth tank??or any other mastery but with that same primary/secondary