No. This is a myth that is widely believed but has no biblical support.
John says that
No one has ascended into heaven except he who descended from heaven, the Son of Man (John 3:13)
And Peter said
Brothers, I may say to you with confidence about the patriarch David that he both died and was buried, and his tomb is with us to this day. … For David did not ascend into the heavens. (Acts 2:29,34)
David was a “man after God’s own heart” (1 Sam 13:14), yet even he did not go to heaven. Jesus is the only human being to have done so.
Instead, the Bible promises a hope of life after death here on earth.
Psalm 115:16 The heavens are the Lord’s heavens,
but the earth he has given to the children of man.
See After death what? for more information.