If you are truly reborn, you will in fact remain trusting in Jesus.
You may "fall from grace" if you begin to think you must do something to add to Jesus' reconciliation, and then you believe you must obey to remain saved, which takes you from grace to works.
It won't undo your rebirth, but it won't lead you to maturity, and it won't keep you from sin.
Much love!
That above is Calvinism, a saved-by-fate belief, not written.
A believer on Jesus Christ can... and some have throughout history, turned away from the Faith on Jesus Christ. Did you not know that Fidel Castro was at one time trained as a Jesuit priest but then later became an atheist and a Communist?
Sorry marks, you're just not living in the real world when you believe a lot of the un-Biblical baloney some illiterate preachers put out.
Only... those Christ labeled as "chosen", when He said for many are called, but few are chosen, are already 'owned' by Him and The Father and thus They will steer His chosen sent ones in the Faith, as those cannot fall, ever. Those are the ones in Christ which Calvin confused when he read Scripture like Ephesians 1:4 which is about the 'chosen', and not the 'called'.
Those who are 'chosen' Lord Jesus used as a example of those who were 'sent', which in the Greek is where the word apostle comes from, and means to be 'sent'. In John 17 Jesus showed The Father already owned those chosen before, and He gave them to Christ. Jesus said they were not of this world, and like Him were 'sent'.
Then later, Jesus said He prayed not only for His chosen sent ones, for also for those who would believe on Him through the words of His sent ones (i.e., preaching of The Gospel)...
John 17:18-21
18 As Thou hast sent Me into the world, even so have I also sent them into the world.
19 And for their sakes I sanctify Myself, that they also might be sanctified through the truth.
20 Neither pray I for these alone, but for them also which shall believe on Me through their word;
21 That they all may be one; as Thou, Father, art in Me, and I in Thee, that they also may be one in Us: that the world may believe that Thou hast sent Me.
KJV
The 'called' only, which is the majority of us that came to Faith on Jesus Christ through hearing of The Gospel, have to remain... in the Faith, and not fall away. Those called CAN... fall away, like Castro for example. This is why about half of Apostle Paul's admonishing in his Epistles are to those 'called' only to not be deceived, and not fall away, but remain steadfast in the Faith walking with Lord Jesus Christ.
Thus the doctrine you are actually declaring is not Biblical, but is actually a part of men's false 'once saved, always saved' doctrines.