Here some considerations about being "anointed".
According to the Bible it's a perceptible change. I confirm this.
--it gives you a special relation to God and Christ. I confirm this.
--these privileges can be lost. I agree as father disciplines those he loves.
--it does not take your free will from you. I concur, turning away is easy.
If you think those are strong and special and super clean and bright, it's possible, but the bible says that the calling is often open for just those who are nothing special in this world.
What struck me most was the cleaning of the mind once "it" happened.
Salvation is by grace for each and everyone, no matter how far he or she might believe to be onto the road of life and righteousness.
God bless