Legal Question in Business Law in California

Not likely if all corporate formalities have been followed and you did not personally guarantee debt.

As Ms. Meyer stated, not if the corporation was properly formed, ongoing formalities were observed and no personal guarantees were executed. If the VPs are named in a lawsuit the corporation should pay for their defense. Notwithstanding, if I were filing a lawsuit against a small to medium sized corporation I would name the shareholders, directors and officers, individually, if I thought they may eventually be liable.

Being vice presidents would not be enough to make them liable, but they could be liable for other reasons. Since you haven't provided any details, that's the best I can do. You should discuss your situation with a lawyer to learn where you stand.