They could. However their different way might be worse than our concept.
Though survival of the fittest is likely a law and so they will have a concept of competition between groups of some form (though their definition of groups will be different) simply because those without will be destroyed by the first group that does have that concept.
Though survival of the fittest is likely a law and so they will have a concept of competition between groups of some form (though their definition of groups will be different) simply because those without will be destroyed by the first group that does have that concept.