Only you know whether you'll need normals in a 2d game. They may make sense - DOOM, for instance, had normals even though it was a 2d game (yes yes, it looked pretty 3d, but technically it was still a 2d game).
One good reason for having normals in a 2d game would be to be able to check whether you're inside or outside some shape. It may also accelerate wall collision response (knowing the direction to push objects out of the wall).
There's no reason to give the normals to OpenGL or whatever rendering package you use if it doesn't need it for anything (like the lighting pretty much everyone else has pointed out).