Yes. But most people do not know what it means to surrender themselves. They say they gave Lord Jesus their life, but in truth they have not. See Acts 5:1-11.
I am glad you brought up the vine. Look at this image of the vine.
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Now please explain to me how the branch can willfully detach itself from the vine? Just take the time to think about that for a few moments.
Yes this is Amazing grace. But we don't separate ourselves from Him. We may get tangled up sometimes, but He promises to never leave us or forsake us. In 1John 1 ( which I think Christians need to meditate on daily) , we learn that our job is acknowledge our sin.Our Father's job is to cleanse us when we confess it. That is so wonderful!
1 John 1:9 If we confess our sins, he is faithful and just to forgive us our sins, and to cleanse us from all unrighteousness.
While we agree perhaps in all ways that matter, still, instead of thinking about remaining on the vine with my own thinking, I want to humbly rely on His wording (not my own thinking) for that --
1“I am the true vine, and my Father is the gardener.
2He cuts off every branch in me that bears no fruit, while every branch that does bear fruit he prunes so that it will be even more fruitful.
3You are already clean because of the word I have spoken to you.
4 Remain in me, as I also remain in you. No branch can bear fruit by itself; it must remain in the vine. Neither can you bear fruit unless you remain in me.
5 “I am the vine; you are the branches. If you remain in me and I in you, you will bear much fruit; apart from me you can do nothing.
6 If you do not remain in me, you are like a branch that is thrown away and withers; such branches are picked up, thrown into the fire and burned.
7 If you remain in me and my words remain in you, ask whatever you wish, and it will be done for you.
8 This is to my Father’s glory, that you bear much fruit, showing yourselves to be my disciples.
9“As the Father has loved me, so have I loved you. Now remain in my love.
10If you keep my commands, you will remain in my love, just as I have kept my Father’s commands and remain in his love.
11I have told you this so that my joy may be in you and that your joy may be complete.
12My command is this: Love each other as I have loved you.
13Greater love has no one than this: to lay down one’s life for one’s friends.
14You are my friends if you do what I command.
15I no longer call you servants, because a servant does not know his master’s business. Instead, I have called you friends, for everything that I learned from my Father I have made known to you.
16You did not choose me, but I chose you and appointed you so that you might go and bear fruit—fruit that will last—and so that whatever you ask in my name the Father will give you.
17This is my command: Love each other.
For me, with my own individual life and walk of course, I noticed He is giving me a clear "command", and for me, that means I have to choose to obey or disobey the command at times (when tempted to disobey), and if I willfully disobey His command in a clear way that makes me feel guilty, that means I have to do as John wrote in 1 John chapter 1, to be cleansed (as worded helpfully for us). I also noticed it's highly key for me to notice He warns me in verse 6 with an "If" statement. See?
He didn't say "if" for no reason in 6 and 7, and for me, that reason is quite needed.
But when we do wander away from Him, as in Luke chapter 15 -- full chapter -- we have great cause for hope when we turn back to Him!
We will do as in 1 John chapter 1, and be so grateful to Him!