I'm a green card holder, my husband is here in the USA and he is out of the status, can I petition him?

Although, you can file a petition for your husband and the fact that he is out of status is no bar to doing so. The current visa bulletin shows as you pointed out a visa may be immediately available. Unfortunately however, if he out of status, he may be ineligible to adjust status. Because you are a legal resident alien LPR , For aliens like your spouse who are not in lawful status are statutorily ineligible to adjust status aso shows who you stated is in the US even though, he may be out of status, and doing so might even be

If he is already out of status, he is not eligible to adjust status within the US unless you are a US citizen.

Your husband must have lawful status to apply for a green card if you are a permanent resident. He can only apply while out of status if you become a US citizen.

You can petition for your husband even though he is currently out of status. The petition is filed on form I-130. However, he won't be eligible to apply for adjustment of status (permanent residency) until you have become a naturalized citizen.

Yes, you can file I-130. Also, if he entered with inspection and is otherwise eligible, generally, he can also file for adjustment of status.