Can I petition my fiance if I am unemployed?

You are not required to be employed to petition for your fiance but you must show she will not be a public charge when she comes here. The standard is 125% of the Poverty Guidelines for your family size (2 people about $18,500). If your most recent tax return does not this amount of income you can still qualify as the sole sponsor if your liquid assets are equal to 3 times any shortfall. Or you may get a co-sponsor who is a U.S. citizen or permanent resident figure out their family size and add one for your fiance.

Yes you can petition your fiance if you are unemployed. Assuming your fiance is not in the U.S. you will have to file an Affidavit of Support (Form I-134) as part of the K-1 visa petition process. If you are not working you can also have a co-sponsor file one as well. Once your fiance arrives and you get married then he must file for adjustment of status. Then you must file another Affidavit of Support (Form I-864) and if you are not employed, have co-sponsor (either the same as the first one or different) provide another Form I-864. To determine how much you or the co-sponsor have to earn to qualify to be a co-sponsor, and the other requirements for a co-sponsor go to USCIS.gov, click on FORMS, and look at Form I-864P and the Instructions for Form I-864.