A lack of empathy can show some signs of autism. I have a hub on this that might help you decide whether your child may be ASD:
Of course, if there are no signs of this, children's behaviour can be a bi product of their environment.
If a child knows nothing but hatred, he will be hateful. If a child is shown meaness, he will be mean. If a child knows and is shown a world of love, he will have the ability to love.
The key, here, is be a loving role model and, in time, love's ability will win through.