Well, no, that doesn't hold up. For sound exegesis, we should bear in mind two key things: (1) We must always read the text in its immediate context first, and then in its broader context second. (2) Unclear passages should always be subject to clear passages.
So, to put this into practice, all of Philippians has to do with the hope we share in Christ; that is, God's grace in the person and works of our Lord Jesus Christ. But if someone were to reject Jesus, they reject God's grace. Nowhere in Philippians, or any Biblical text, does it say that whoever rejects, disbelieve and hate God will yet live in Christ. No, it's written that those who do not believe are condemned. There is no salvation apart from faith in Jesus Christ. That every knee should bow before Christ is to the glory of God and the joy of the believers, but to the shame of the unbelievers.
Let me ask you two questions:
1. Bearing in mind explicit texts such as 2 Peter 2, do you believe that the angels who sinned will be restored along with all sinners? Peter very clearly writes that they are condemned.
2. If someone dies in disbelief and contempt for God, at what point is the person converted? Scriptures nowhere say, indicate or alludes to conversion after death. Even people who believe in Purgatory reject this notion, for they hold that Purgatory is a gradual justification and sanctification of the believer, not the unbeliever.
If it isn't already clear, here's the problem: Although Scriptures nowhere teaches this but rather the opposite, suppose an unbeliever had the opportunity to believe in the next life. That would imply that the unbeliever is still in a state of sin in the new creation, which Scriptures absolutely speaks against, for there is no sin in the new creation, and there cannot be unbelief without sin. Secondly, again, Scriptures nowhere teaches this but instead the opposite, suppose a man dies in disbelief and hatred for God. Suppose he suffers some kind of punishment that pays for his own sins. This idea goes hard against the Gospel, which teaches us that Christ paid for our sins. If someone could suffer for their own sins they would merit salvation by their own works and apart from faith in Christ, but this is the polar opposite of what the Word of God says.
So, unless you can demonstrate any passage in Scriptures that say something to the effect that whoever rejects Christ will live, and that they may be converted in the next life, you won't have much to go on, and you'd have to ignore most of the Scriptures.