In case you are wondering from the title, yes the Bible does mention zombies. In the account of Jesus' death and resurrection in the book of Matthew, in chapter 27, it claims that people were brought back to life at that exact moment of Jesus' death.
It says that at the time of his death, there was an earthquake, a curtain in the temple was ripped from top to bottom, and that people came back to life, and went to the "holy city" (Jerusalem), and appeared to many people.
Here's the text from Matthew 27:
50 And when Jesus had cried out again in a loud voice, he gave up his spirit.
51 At that moment the curtain of the temple was torn in two from top to bottom. The earth shook, the rocks split 52 and the tombs broke open. The bodies of many holy people who had died were raised to life. 53 They came out of the tombs after Jesus’ resurrection and[e] went into the holy city and appeared to many people.Now here Mark's account in chapter 15:
33 At noon, darkness came over the whole land until three in the afternoon. 34 And at three in the afternoon Jesus cried out in a loud voice, “Eloi, Eloi, lema sabachthani?” (which means “My God, my God, why have you forsaken me?”).[b]No mention of the zombies there....
35 When some of those standing near heard this, they said, “Listen, he’s calling Elijah.”
36 Someone ran, filled a sponge with wine vinegar, put it on a staff, and offered it to Jesus to drink. “Now leave him alone. Let’s see if Elijah comes to take him down,” he said.
37 With a loud cry, Jesus breathed his last.
38 The curtain of the temple was torn in two from top to bottom. 39 And when the centurion, who stood there in front of Jesus, saw how he died,[c] he said, “Surely this man was the Son of God!”
40 Some women were watching from a distance. Among them were Mary Magdalene, Mary the mother of James the younger and of Joseph,[d] and Salome. 41 In Galilee these women had followed him and cared for his needs. Many other women who had come up with him to Jerusalem were also there.
Here's Luke's account, in chapter 23:
44 It was now about noon, and darkness came over the whole land until three in the afternoon, 45 for the sun stopped shining. And the curtain of the temple was torn in two. 46 Jesus called out with a loud voice, “Father, into your hands I commit my spirit.”[e] When he had said this, he breathed his last.
47 The centurion, seeing what had happened, praised God and said, “Surely this was a righteous man.” 48 When all the people who had gathered to witness this sight saw what took place, they beat their breasts and went away. 49 But all those who knew him, including the women who had followed who had followed him from Galilee, stood at a distance, watching these things.
Here's the account in John, chapter 19.
28 Later, knowing that everything had now been finished, and so that Scripture would be fulfilled, Jesus said, “I am thirsty.” 29 A jar of wine vinegar was there, so they soaked a sponge in it, put the sponge on a stalk of the hyssop plant, and lifted it to Jesus’ lips. 30 When he had received the drink, Jesus said, “It is finished.” With that, he bowed his head and gave up his spirit.
Notice that John not only doesn't talk about an earthquake, but he doesn't mention the zombies either.
Look at the differences between the accounts, some accounts mention certain major details, and others don't. Don't you think something as important as people coming back to life and wandering around Jerusalem would have been considered so memorable and such a major point to mention that all of the writers of the four books known as the "Gospels" would have all mentioned them?
Better yet, why didn't any Jewish historian like Josephus, or any of the Roman historians (since Jerusalem was occupied by the Roman empire at the time) mention it as fact, or at least mention the rumors about it?
Maybe it's because, (gasp), it didn't happen!