Hi Luna-tic - No I don't believe anyone can be born again without believing in the Lord Jesus Christ as their Saviour.
Naomi24 equated being born again with 'turing over a new leaf'.
In the Bible when you become born again you don't turn over a new leaf, God gives you a whole new book!
"Therefore if any man be in Christ, he is a new creature: old things are passed away; behold, all things are become new." II Cor 5:17
Yes you can regret your wrong doings and try to do what's right, but that doesn't deal with the wrong that has already been done. That's why we need a Saviour.
There is sin in each one of us, whether it is murder or 'white' lies it's still sin, and transgression of God's law.
The Bible say that whosoever breaks any of God's law is guilty of it all, and that all have sinned and come short of the glory of God.
Being born again is realising that you are a sinner, (we all are), recognising that you cannot do one thing to 'make' this up to God, but trusting in what Christ did on the cross taking the punishment of sin for you. God then gives you forgiveness and a new heart. When God looks upon those who are born again He now doesn't see a guilty sinner but the redemption work of Christ.
"For he hath made him to be sin for us, who knew no sin; that we might be made the righteousness of God in him" II Cor 5:21