It is certainly possible, but the chances of recovery are dependent on very specific facts that are not provided here, such as any contracts signed and any representations made by your stockbroker. That being the case, I recommend you organize everything in your possession related to this matter, including any contracts and written communications with your stockbroker, and consult with an attorney individually. A knowledgeable attorney will review the information, and advise as to the best course of action moving forward.