Yes, because eternal life is a gift of God per Rom 6:23 and God's gifts are irrevocable per Rom 11:29.
Eternal life is an inheritance, just as Jesus said in Matthew 19 -
28 So Jesus said to them, Assuredly I say to you, that in the regeneration, when the Son of Man sits on the throne of His glory, you who have followed Me will also sit on twelve thrones, judging the twelve tribes of Israel.
29 And everyone who has left houses or brothers or sisters or father or mother or wife or children or lands, for My names sake, shall receive a hundredfold, and inherit eternal life.
Notice when the inheritance comes - "...in the regeneration, when the Son of Man sits on the throne of glory...and the disciples are judging the twelve tribes of Israel..."
Then it is believers who will not inherit the kingdom of God, if they continue to be fornicators, idolaters, adulterers, and so forth.
No. But note that inheriting the kingdom is not the same as entering the kingdom. To inherit the kingdom refers to reward in the kingdom.
Rewards are given to those who 'do' something worthy of the reward. Strong's puts it this way - "dues paid for work".
Above, I showed you where Jesus said 'inherit eternal life'. So if eternal life is a reward, then it is 'dues paid for work'.
Now I will ask you, what is the difference of inheriting life and entering life?
I just gave you eternal life is inherited above, and now I give you this -
Matthew 19:17 -
So He said to him, Why do you call Me good? No one is good but One, that is, God. But if you want to enter into life, keep the commandments.
What is the difference?
The mistake here is that this view either ignores or forgets what Christ has already done for EVERY believer; paid the full price for all their sins, and by their belief in Christ, God credits righteousness to them.
What is the 'full' price for all sins?
No human being is able to "cleanse himself" in order to enter the kingdom. Please consider what that means. If he could, then people could enter the kingdom on their own, by cleansing themselves.
Wow, this is just what the Bible says, yet here, you say the opposite. Let's read it again -
2 Corinthians 7:1 -
Therefore, having these promises, beloved, let us cleanse ourselves from all filthiness of the flesh and spirit, perfecting holiness in the fear of God.
What part of 'let
us cleanse
ourselves' is hard to understand?
The gospel's whole message is that Christ died on the cross to pay for the sins of mankind SO THAT those who believe in Him are saved. Christ cleanses us. Not ourselves.
I'm not saying Christ doesn't cleanse us; I am saying it is a two-way street. You do you part, He does His.
Here are Jesus' words -
Matthew 23 -
25 Woe to you, scribes and Pharisees, hypocrites! For you cleanse the outside of the cup and dish, but inside they are full of extortion and self-indulgence.
26 Blind Pharisee, first cleanse the inside of the cup and dish, that the outside of them may be clean also.
Your question was quite telling as to your mistaken view of how one is saved.
Here is the foundation of salvation -
Matthew 1:21 -
And she will bring forth a Son, and you shall call His name Jesus, for He will save His people from their sins.
First and foremost, sin has to be dealt with inside the heart of man. It is sin which ultimately sends man to hell. If sin isn't dealt with, it will overcome man and defeat him.
Jesus Himself gave us the way we overcome sin and its consequences.
Luke 24:46-48 -
46 Then He said to them, Thus it is written, and thus it was necessary for the Christ to suffer and to rise from the dead the third day,
47 and that repentance and remission of sins should be preached in His name to all nations, beginning at Jerusalem.
This was days after Jesus died and rose from the grave. If sins were dealt with on the cross, then these words would be useless. Instead, Jesus said that 'repentance and remission of sins' should be preached.
Why would repentance and remission of sins be necessary if sins were paid for on the cross?
Here is Strong's definition of remission -
release from bondage or imprisonment
forgiveness or pardon, of sins (letting them go as if they had never been committed)
remission of the penalty
Release of sins, pardon of sins, and remission of the penalty for sins comes after one genuinely repents, not on the cross. It is is when one is pardoned and released of his sins that is he saved from them. This is true salvation.
We are saved by grace, through faith, and that not by ourselves. Salvation is a gift from God. Not of works, lest anyone should brag. Eph 2:8,9
Eternal life is inherited, thus these Ephesians passages are only part of salvation from our sins. Jesus gave us the full plan of salvation, and that is in effect only with repentance.