Can I be charged with immigration fraud?

Your reasons for contemplating that you might be charged with immigration fraud is unclear. Because a credible fraud charge is a strong basis to deny your adjustment of status application as well as possible entry of a removal order, it is strongly suggested that you consult in detail and in strict confidence with an immigration attorney and to whom you need to share all of the reasons for your belief in a potential immigration fraud charge.

The fact that your husband is on government assistance will make your change of status extremely difficult, since he will not qualify to sponsor you since he does not have enough income for the affidavit of support. You will need a joint or co-sponsor who qualifies financially under the guidelines for the affidavit of support. I strongly suggest that you contact an experienced immigration attorney for a face-to-face consultation and give him/her all of the facts surrounding your situation. (S)he would then be in a better position to analyze your case and advise you of your options.

Where is the fraud? If you are married for the bona fide reason of being married to the man you love rather than just for a green card, there is no fraud.

There may be "public charge" issues. As for fraud, that normally requires intent. If you intended to commit fraud, then there could be a problem, but, there's also a possible "fraud waiver" that's available to spouses of U.S.A citizens.