There are certainly religious reasons for Christians to either support or oppose the use of genetically modified organisms (GMO) for food. Neither side is obviously correct and so there is plenty of room for debate.
On the pro-GMO side, there are at least two major arguments that can be made. First, we can point to the fact that human beings were given dominion over all of the earth. This would imply that people have the right to do whatever they want with the plants and animals of the earth. Second, we can point to the parable of the talents. There, God tells us that we are to use the talents that we have been given to the greatest extent possible. Creating GMOs to help alleviate hunger and other problems could be part of our use of our scientific talents.
On the other hand, Christians could argue that we are supposed to be stewards of the earth. Stewardship, they could argue, entails banning GMOs that might harm the natural ecosystem. In addition, there is the basic idea that we should not try to change the order that God has created. In this view, our genetic meddling with plants and animals can be seen as “playing God” in a way that God would not like.