Not only can you have morals (Ethics)without religion, but any religious source for morality is demonstrably amoral at best, and frequently completely immoral.
Most religion-based moral codes have completely inconsistent definitions of "good" and "bad", which in practice amount to little more than lists of things which are considered "good" or "bad", with little respect for whether any of these things can actually be demonstrated to be "good" or "bad". In religious context, something is "good" if the religion says it's good (even if it's demonstrably bad by any other standard, like demonizing or killing those with different beliefs or ritually mutilating infants), and something is "bad" if the religion says it's bad (again, even if it's demonstrably good by other standards, like questioning authority or equality between the sexes). This is not morality. It's just a dictated set of entirely arbitrary rules intended to control a population and glorify religion. That religions frequently claim that this *is* morality is nothing other than a deliberate corruption of the very concept, and worse, that many religions claim to be the only acceptable source of morality while preaching a deliberate perversion of natural morality is itself *deeply* immoral. But just in case that wasn't bad enough, many religions then exempt their followers from taking responsibility for their own actions, blaming some "evil spirit" or another (Satan) for anything "bad" they might do within the religious culture, giving them ample justifications for committing all manner of demonstrably bad acts outwith the culture without risk of censure, and finally saying that all "sins" will be forgiven if they devoutly follow the religion.
Religion distorts and cheapens morality for its own ends