Is it possible for us to apply for a green card without a lawyer?

I would recommend you consult with a lawyer before you venture into filing a petition for your husband. You want to make sure that he does qualify before you file any paperwork with immigration. If you file a petition for him and he does not qualify, he will be put in deportation proceedings and it may be very difficult to keep him here after that. First you must make sure he entered with inspection, if he did not, he will not be able to have residency unless he leaves the country. It is usually very difficult to be allowed to return. If your husband does qualify, then you must make sure that you send all the appropriate applications and more importantly, all the supporting documents. You could do the process without an attorney, but it is not recommended. I have come across cases where I have decided to not send to immigration certain photos or other evidence because even though it is legitimate, it does look good or may be questioned. An experienced attorney in this area of law will be very helpful to you and your husband.