Secularists keep asserting that, yet if you look around, you can't see much of the objective morality in evidence in our secular society, can you? Under the most high-minded of pretenses, the Europeans are aborting their imperfect infants, and euthanizing their elderly and infirm because the cost of their healthcare to the taxpayer is too high. In the Netherlands, you can be euthanized for depression, and they believe they're doing you a great favor.
Mankind can talk itself into anything.
The thing about God-given morality is that is is impervious to the frailties of mankind: it is eternal, universal and applies to all, and at all times, regardless of fashions in thought, historical context, or who may happen to be in power. Man-made moralities depend very much on the personalities of those who invent them, and the events of the moment. How do you come to a consensus about what is objectively moral if everyone knows--as they do--that these ideas are another mere human's opinion?
In the 18th century, Jean Jacques Rousseau believed that he had come to a deeper understanding of the truth than his fellow man--to such an extent that he felt comfortable enforcing his will on them whether they agreed with him or not. In essence, he was a tyrant. His line of reasoning led to the French Revolution, the Terror, Marx, Lenin, Mao, and the slaughter of over 100 million people in the 20th century.
As a creation of God, on the other hand, our life is eternally sacred.
So my answer is unequivocally no.