Can my husband cancel my green card?

Sorry to learn about the problems with your marriage. It may be comforting to you, however, to know that your husband cannot cancel your "Green Card." If your "Green Card" is for conditional resident status, you still will be required to apply to remove conditions, and if you are divorced from your husband you will need to file that type of application with a request for a waiver of the usual requirement that both spouses jointly file the application. Without delay you should consult with a local domestic relations/divorce attorney to get advice about child support, alimony, property division and other rights and obligations associated with a divorce. It also might be wise to consult with a marriage counselor or similar professional to seek possibilities for resuscitating your marriage, especially in light of your daughter's best interests. In connection with immigration issues, and especially any need to apply to remove conditions if you are a Conditional Resident, there really is no substitute for you to consult with an immigration attorney who, after learning all of the relevant information, could advise about eligibilities, options and strategies to attain your goals, and who then could offer legal representation in the often complex application process.