Can i petition for my wife as f11

You can certainly file a petition for your wife but you risk losing your green card, because you committed material misrepresentation. You failed to disclose your marriage even though the visa application specifically asks. You did so because you knew you would otherwise be ineligible for a visa. This is material misrepresentation. You face very serious consequences including loss of your residence, removal proceedings, and permanent bar to admission. You can read more about the consequences of material misrepresentation at http://myattorneyusa.com/waivers-for-fraud-or-willful-misrepresentation-of-a-material-fact-to-obtain-an-immigration-benefit.