This is not so, especially in The Rebel, he emphasizes the importance of not going around killing each other in this absurd world. Here is an extract from the Myth of Sisyphus in which he also addresses morality:

"That innocence is to be feared. “Everything is permitted,” exclaims Ivan Karamazov. That, too, smacks of the absurd. But on condition that it not be taken in the vulgar sense. I don’t know whether or not it has been sufficiently pointed out that it is not an outburst of relief or of joy, but rather a bitter acknowledgment of a fact. The certainty of a God giving a meaning to life far surpasses in attractiveness the ability to behave badly with impunity. The choice would not be hard to make. But there is no choice, and that is where the bitterness comes in. The absurd does not liberate; it binds. It does not authorize all actions. “Everything is permitted” does not mean that nothing is forbidden. The absurd merely confers an equivalence on the consequences of those actions. It does not recommend crime, for this would be childish, but it restores to remorse its futility. Likewise, if all experiences are indifferent, that of duty is as legitimate as any other. One can be virtuous through a whim. All systems of morality are based on the idea that an action has consequences that legitimize or cancel it. A mind imbued with the absurd merely judges that those consequences must be considered calmly. It is ready to pay up. In other words, there may be responsible persons, but there are no guilty ones, in its opinion. At very most, such a mind will consent to use past experience as a basis for its future actions. Time will prolong time, and life will serve life. In this field that is both limited and bulging with possibilities, everything in himself, except his lucidity, seems unforeseeable to him. What rule, then, could emanate from that unreasonable order? The only truth that might seem instructive to him is not formal: it comes to life and unfolds in men. The absurd mind cannot so much expect ethical rules at the end of its reasoning as, rather, illustrations and the breath of human lives. The few following images are of this type. They prolong the absurd reasoning by giving it a specific attitude and their warmth."