That depends on what we mean when we say prove. If we mean “is it possible to present solid, compelling, and logical reasons to believe in the existence of God,” then the answer is yes. But if we mean “can God’s existence be demonstrated beyond all possible doubt,” then the answer is no.
A “no” answer should not cause those who believe in God to panic. Those who deny God’s existence cannot prove their position, either.
Some things are just beyond our ability to prove, and yet we accept them as true. I cannot prove that my wife loves me, but I’m pretty sure she does. I can’t prove that a breathtaking sunset is beautiful, but I know that it is. I can’t prove that torturing and murdering another human being is evil, but it is.
All of us deeply believe in things that can neither be proven or disproven, including the existence of God. And yet we find ourselves as certain about them as we are about the wind that blows in our faces.
A body buried in a wooden casket would decompose completely after a few hundred years, depending upon the conditions of the soil. Similarly, a seaman buried at sea would leave no traces. Not a trace seems to remain of all of those who went down with the HMS Titanic, for instance.
The apostle Paul made it clear that our new body, though having a great deal in common with our mortal body, will be a “spiritual body.” God will not need to gather up the scattered molecules of our earthly bodies. The bodies of many Christians and believers from before Christ have already decomposed, been completely destroyed by fire, or have been devoured by animals. Therefore, 1 Thessalonians 4:13-18 doesn’t require us to imagine a scene in which the ashes in funerary urns or decayed bodies in earthly graves are suddenly reconstituted. Rather, the resurrection is the wonderful occasion in which believers who have died will again be granted full bodily form, this time in a glorified body that can never again die or experience decay.
 1 Corinthians 15:35-44