Thanks! I think you could refute this using the laws of logic.
In order for a statement to be logically impossible, it has to violate one of the three fundamental laws of logic: the law of identity, the law of contradiction, or the law of excluded middle. By using those laws to examine the statement “a dead person could live again,” you can show that it does not violate any fundamental law of logic, and is therefore logically possible.
The law of identity states that any statement is the same as itself. An atheist might say the statement we are looking at violates this law because it implies that a dead person is not dead. But our statement does not imply that. It implies that a Resurrected person is not dead. The resurrection is different from a zombie scenario because Jesus is not undead, He is at least as alive as you and me.
The law of contradiction says that a statement cannot be both true and false in the same way and at the same time. An atheist might say that our statement violates this law because our doctrine implies that Jesus, as God, was both dead in the tomb and alive as God at the same time. But this argument forgets that the law of contradiction is not violated when something is asserted to be both true and false
in two different senses. Jesus was dead physically, but was alive spiritually. Those are two different ways of being alive, so our statement does not violate the law of contradiction.
The law of excluded middle says that every statement is either true or false. This gets close to where the battle rages with the atheists: they say the Resurrection is false, and we say it is true. But we do Not say that it is both true and false, and neither do the atheists, so neither our statement nor theirs violates the law of excluded middle.
There you have it! The Resurrection does not violate the laws of logic, and therefore it is logically possible. The question then moves to whether there is evidence for it. But that should be the subject of another thread.
I hope that helps.

God bless!