Don't think so.
Accepting a free gift does not imply one has participated in the saving. Some one here has already posted the life boat analogy.
If some one has a gun pointed at your head making demands. Whether you surrender to those demand or not did not determine before hand that the gun men would point his gun at you.
IMO you theology is cart before the horse. With reference to some previous posts. John Calvin et al were and still are ambiguous on this.
If you
have to accept the free gift or you
have to do anything at all in order to be saved, then it is a legal salvation.
I used to hold to this theology. The problem is this.
Faith is a gift:
"For by grace you have been saved through faith; and that not of yourselves, it is the gift of God; not as a result of works, so that no one may boast," (Ephesians 2:8-9).
And here is what the Bible says about the gifts and the calling of God:
"From the standpoint of the gospel they are enemies for your sake, but from the standpoint of God's choice they are beloved for the sake of the fathers; for the gifts and the calling of God are irrevocable," (Romans 11:29).
ir·rev·o·ca·ble /ˌiˈrevəkəbəl/
Adjective: Not able to be changed, reversed, or recovered; final.
It is final. Salvation is God's work. He initiates, works, and finishes. Man can resist the Spirit of God, but not the gift of salvation when the Spirit applies it.
The problem with your gun analogy is that it leaves out God's work on the heart of the man before the man has to make a decision. Or do you think that Lazarus could have said, "No, Lord; I will stay dead"? I tell you this, if our Lord wouldn't have called Lazarus by name, the tombs would have emptied at His sovereign voice.
"All that the Father gives Me will come to Me, and the one who comes to Me I will certainly not cast out," (John 6:37).
This couldn't be taken in a corporate sense, because of the word "all" used here. If this verse is about a corporate election of the church as a whole, Christ would have said, "That which the Father gives me...."
There is no way around it. This is simply how God exercises His sovereignty.
It's not a gun to your head scenario; it's a sovereign God to man scenario.