Can i exclude my daughter from EBT?

Right now im working and making barely enough to support my family, we have EBT which we use to buy the food we need so everythings tight but just making it. My 16 year old daughter wanted to get a summer job but if she did they would count the money she made as the families income and they would take away our EBT then most my daughters money would have to go towards buying the family food. I wouldn't want her to have to do that. Is it allowed for me to leave her out of the "dependent" category where i list the people who are going to be supported on the food stamps. So that she could make her own money without it effecting the family?