No. the Bible promises that faithful followers of Jesus will live for ever on earth.
A few Bible passages are sometimes thought to teach that Christians are promised eternal life in heaven. But they can all be shown to agree with the teaching of the rest of the Bible. For example, “my Father’s house”, of John 14:2 is not in heaven. God’s house is the temple, as John 2:16 shows. The greatest of all temples is a spiritual temple, and the believers are living stones in that great house that is still being built (See 1 Peter 2:5). God’s house is therefore on earth, and because of this the Lord Jesus says (in the next verse John 14:3), “I will come again and receive you unto myself”.