Yes, of course it does. And eternal life, being a gift of God, AND...the gifts of God being irrevocable, is irrevocable.
29 For the gifts and the calling of God are irrevocable. Romans 11:29
Your argument is not only un-founded in that, salvation nor eternal life is mentioned in verse 29, but mainly because the call of the Gospel still remains to the Jews, and is without repentance, meaning; they still have the opportunity to be saved, which Paul points out in his own life.
Can you explain how a person can have an "irrevocable gift of eternal life" while at the same time, have the call to salvation still available to them?
If a person still has an opportunity to receive salvation, how can they at the same time "possess eternal life", something that is still available to them through the calling of the Gospel; if they humble themselves, repent and confess Jesus as Lord.
Your "theology" places eternal life in those who have yet to obey the Gospel, by confessing the Lord Jesus.
Paul just mentioned this in the previous chapter, and is the context of Romans 11.
9 that if you confess with your mouth the Lord Jesus and believe in your heart that God has raised Him from the dead, you will be saved. 10 For with the heart one believes unto righteousness, and with the mouth confession is made unto salvation. 11 For the Scripture says, “Whoever believes on Him will not be put to shame.”12 For there is no distinction between Jew and Greek, for the same Lord over all is rich to all who call upon Him. 13 For “whoever calls on the name of the Lord shall be saved.”
Israel Rejects the Gospel -
14 How then shall they call on Him in whom they have not believed? And how shall they believe in Him of whom they have not heard? And how shall they hear without a preacher? 15 And how shall they preach unless they are sent? As it is written:
“How beautiful are the feet of those who preach the gospel of peace,
Who bring glad tidings of good things!”
16 But they have not all obeyed the gospel. For Isaiah says, “Lord, who has believed our report?”17 So then faith comes by hearing, and hearing by the word of God. Romans 10:8-17
How can Jews you have yet to believe the Gospel, though they still are called, have eternal life?
JLB