Yes. I think it would be a great gift to you children if you picked up the phone and called a church or a local community center and asked for some help. Call Catholic Community Services. Or St. Vincent De Paul. Or the local foodbank. They will make sure your children get something for Christmas.
I remember one year when I was a broke and desperate single mom with a 18 month old baby and an addict boyfriend in prison. I mentioned to my child's pediatrician that I had no money for a christmas tree or gifts, and the office sent me a $150 gift certificate to Target! AND a local church showed up with a bag of groceries for me! It was a Christmas blessing that my child never would have received if I hadn't mentioned I needed help to someone local in my neighborhood.